Assume that a is an angle in standard position whose terminal side contains the point -6,-6) Sin a = CosQ= tan a= CSC Q= SecaD CotQ= 11

Q: Prove that an angle of 0 radians is constructible if and only if the real number cosA(sine)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: The terminal side of an angle θ in standard position intersects the unit circle at point (32,−12).…

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Q: Use a cofunction to write an expression equal to sin 11 sin 11 = OcosO O tan O sin O cot OsecO ?

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Q: Approximate, to the nearest 0.01 radians, all angles 0 in the interval 0,27) that satisfy sec0 =…

A: Given, secθ = - 2.638 θ∈[0,2π) we know cosθ = 1secθ  So, cosθ = -12.638  = - 0.3791

Q: 4. The point (9, -5) lies on the terminal side of the angle e in standard position. Find (sin 0 +…

A: Use pythagorous theorem to solve

Q: 20. Prove that an angle of 0 radians is constructible if and only if the real number cose(sine)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: The tangent of an angle satisifies tan(θ ) = 10. 1. Which quadrant could θ  lie in? Explain how you…

A: Topic:- trigonometry

Q: Find the values of the six trigonometric functions for the angles in standard position having the…

A: Given: P=-3,4 We know that given point is in second quadrant and in second quadrant sine, cosine…

Q: Find all six exact trigonometric functions for the angle formed by the terminal side (containing the…

A: To find all six exact trigonometric functions for the angle formed by the terminal side (containing…

Q: tan 8 Prove the following trigonometricidentity: sin a tan 8+1

A: Break tan (theeta) into sin (theeta) and cos(theeta)

Q: 4. The terminal side of an angle 0 in standard position passes through the point ). Calculate the…

A: (4) Let x=-7 Let y=9 Let r= the length of a line segment drawn from the origin to the point:…

Q: If the terminal side of angle θ goes through the point (−2√13/13,−3√13/13) on the unit circle, then…

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Q: Use reference angles to evaluate the express Tan(5 pie/ 6

A: We have to find

Q: Prove that an angle of 0 radians is constructible if and only if the real number cos0(sine)…

A: Since θ is constructible, by definition, (cos θ, sin θ) is a constructible point.

Q: A girl of height 150 cm stands in front of a lamp-post and casts a shadow of length 150 V3 cm on the…

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Q: The angle 0 is in standard position, passing through the point (6, -8). What is the value of sin 0?

A: We have (6,-8)=62+(-8)2=36+64=100=10 So we get the corresponding points in the unit circle as…

Q: Determine all angles v between 0 and 360 degrees that satisfy  sin3v = sin3

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Q: Let 7,-3) be a point on the terminal side of 0. Find the exact values of sin 0, sec0, and tan 0.

A: Let theta be the angle made by line joining origin and given points (7½,+3),with respect to…

Q: A 20 ft ladder leans agaainst a building so that the angle between the ground and the ladder is 70…

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Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

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Q: An angle theta in standard position has a terminal ray that passes through the point (4,7).…

A: Given:              Terminal ray passes through the point (4,7).

Q: A ladder leans against a vertical wall. If the top of the ladder slides down at 4 ft how is the sec…

A: Let x and y (in feet)be the distance of bottom of the ladder from the wall and distance of the top f…

Q: angle such that sec(0) Find sin(0) and tan(0). 2 Let 0 be an

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Q: and 0 terminates in QIV 4 33. sec 0 = %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Evaluate tan 0 for angle shown. (-3,6)

A: We have to find the slope/tangent of given line.

Q: If angle x is in standard position such that tan=-8/6 & Sece > 0 determine the exact value of Csce

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Q: Calculate the six trigonometric function values of an angle e in standard position whose terminal…

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Q: 6. Is it true that arcsin sin sin arcsin ? Explain your reasoning (AlIl angles are in radians.)

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Q: If the point (4,-7) is on the terminal side of the angle in standard position, sin (0) = cos(0) tan…

A: Here we have to find the value of trignometric functions.

Q: The terminal side of an angle θ in standard position intersects the unit circle at point…

A: We have to find the sin value

Q: Find the exact values of all six trigonometric functions for an angle in standard position whose…

A: We have to find  exact values of all six trigonometric functions for an angle θ in standard position…

Q: The terminal side of an angle θ in standard position intersects the unit circle at point (−22,−22).…

A: The terminal side of an angle θ in standard position intersects the unit circle at point (−22,−22).…

Q: The terminal side of angle t intersects the unit circle in the fourth quadrant at the point (5/13,…

A: It is given that, Terminal side intersect unit circle at 513, y in 4th quadrant. Let, the angle made…

Q: Therefore, sin () -- sin (a)- K please follow the eample and complete sin tam ( - ) - en ( - #*) -…

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Q: If the terminal ray of the angle θ passes through the point (−5,2), find the exact value of cscθ

A: Given that the  terminal ray of the angle θ passes through the point (−5,2). Then, there forms a…

Q: The point (3, -2) lies on the terminal side of angle 0 . Find the exact value of sin 0 and cos O

A: We first sketch the situation roughly. Then we find the hypotenuse using Pythagorean theorem.…

Q: tan 61° cot %3D

A: Cofunction  theorem : A trig function of an angle is always aqual to its cofunction of the…

Q: What angle ( in radians ) is subtended from the center of a circle of radius 0.75 m by an arc of…

A: Let the angle is θ Given radius= r= 0.75 m Arc length = S= 0.80 m

Q: Find the equation of the line passing through the point (30,0) that makes an angle of 33° with the…

A: Solution: The objective is to find the equation of a line

Q: Let θ be an angle in standard position. Name the quadrant in which θ lies. tan θ > 0 and sec θ…

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Q: Help.

A: we need to find the angles satisfying the condition

Q: Prove that sin(x + y) # sin x + sin y by identifying one pair of angles x and y that shows that this…

A: We have to prove that, sin(x+y) ≠ sinx + siny by identifying one pair of angle x and y.

Q: Sketch the angle θ in standard position that has the point (5, –3) on its terminal side. Find the…

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Q: The terminal side of an angle O in standard position intersects the unit circle at point (-,-). What…

A: Q7) The terminal side of an angle θ in standard position intersects the unit circle at point…

Q: 8. The point (-5, –12) is on the terminal arm of C. Which is the set of exact reciprocal…

A: To find the correct set of trigonometric ratios

Q: Use the cofunction identities to find an angle 0 between 0° and 90° that makes the statement true.…

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Q: If the point (15, -8)is on the terminal side of standard position angle 0, find the exact value of…

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Q: Cannot solve

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Q: tan 45, sec 60 5 sin 90 sin 60° 2 cos 0 cos135° Leave your answer in exact form (no decimals). 11.…

A: We will directly out the values of all of these then calculate.

Q: The terminal side of an angle theta in standard position intersects the unit at point (3/2, - 1/2)…

A: Given that point (3/2, -1/2). This is in the Cartesian plane and we find r and theta help of convert…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.