Given Hlat Cos a= , and Sin /s , and Sin aco a) Sketch the reference triongle for angle Now Use identities to find te exact Valves of A tan (2a)= Sin

Q: Use the information given about the angle θ,0 ≤ θ <2π, to find the exact value of (a) sin( 2θ )…

A: Consider the given equation as tanθ=12

Q: Find cos 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. cos 0 = ||…

A: Given that: A right triangle

Q: In the triangle ABC, the altitude through A, the median Question 2 through B and the internal angle…

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Q: Use the information given about the angle 0, 00 (a) sin (20) (b) cos (20) (c) sin (d) cos (e) tan…

A: Trigonometric Function:        Trigonometric function are real functions which relate an angle of…

Q: The point (,- ) is on the unit circle corresponding to an angle 0. Compute the six trig functions…

A: The point on the unit circle is:  316, -247256

Q: Suppose you know that, for a given right triangle and acute angle 0, cos(0) = 2/5. Give the exact…

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Q: Given a right triangle 4 ABC and sin A = t. What is tan(A)?

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Q: Draw an angle with a measure of theta that satisfies both conditions, a) cos theta is negative b)…

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Q: Use the information given about the angle 0, 0≤0≤2л, to find the exact value of cos cos () = 3 5'…

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Q: A right trlangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find tan B, sin…

A: Given:

Q: If tan(a): < a < 27 and B is a Quadrant Il angle with tan(B) 2 1 find 2, where %3D - tan(a + B)

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Q: For any angle 0 in standard position, let P = (x, y) be the point on the terminal side of 0 that is…

A: Given : For any angle θ in standard position, let P = ( x, y) be the point on the terminal side of θ…

Q: Use the information given about the angle 0, 0≤0≤2л, to find the exact value of sin cos 0 = 1 4 csc…

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Q: Given that cos(0) = V10 , and 0 is in Quadrant III, what is sin(20)? %3D 10

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Q: Given that cos 0 12 %3D 13 and that angle 0 terminates in quadrant IV, then what is the value of sin…

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Q: 3. Use the information given about the angle 0,0s0<2x, to find the exact value of each trigonometric…

A: Sin (2x)=2sin(x)cos(x) Cos(2x)=cos²x-sin²x Sin(x/2)=[(1-cosx)/2]½. Cos(x/2)=[(1+cosx)/2]½

Q: sin 0; sec 0 = 3 and 0 E QIV %3D

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Q: Use the information given about the angle 8, sec 0=4, csc 0<0, 0≤0<2, to find the exact values of…

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Q: Given that the point (60, 11) is on the terminal side of an angle, 0, find the exact value of the…

A: According to given, x-coordinate= base=adjacent= 60 y-coordinate= height=opposite= 11 By using…

Q: Use the information given about the angle 0, 00 (a) sin (20) (b) cos (20) (c) sin , (d) cos , (e)…

A: secθ = 2 , sinθ &gt;0 ,  0≤θ≤2πsec θ = hypotenusebase = 1cos θcos θ = 12so θ = 60°

Q: a. Given: APQR: LR is a right angle. Prove: tan P • tan Q = 1 5 find tan 58° 8' b. If tan 32° =…

A: a) Given triangle ∆PQR is a right angled triangle. ∠R is the right angle. For ∠P, opposite…

Q: On a circle with radius of 10 cm, find the length of the arc that subtends the central angle of 72.…

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Q: Use the information given about the angle θ,0 ≤ θ &lt;2π, to find the exact value of (a) sin( 2θ )…

A: We have given   sinθ=-33 and 3π2&lt;θ&lt;2π cosθ=1-sin2θ=1--332=1-13=23 cosθ will be positive since…

Q: Given that tan 0 8 15 and that angle 0 terminates in quadrant IV, then what is the value of cos 0?

A: tanθ=-815 θ  terminates in IV quadrant and secθ and cosθ both will be positive in IV quadrant

Q: A right triangle has legs with lengths 2 and 3, and a is the acute angle opposite to the smallest…

A: We have to find value

Q: Find cos 0, where 8 is the angle shown. Give an exact value, not a decimal approximation. 3 cos = 0

A: Using Pythagoras theorem

Q: 4. Given that tan- = cot z, first express as a sum of and an angle, and then apply c trigonometric…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Consider the angle 0 on a standard coordinate plane such that: cot(0)=6; sec(e)<0, What is the exact…

A: Given query is to find the value of indicated angle.

Q: Find cos 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 4

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Q: Use the information given about the angle 0, 0 s 0s 2, to find the exact value of the indicated…

A: We know that , sin ( 2 • theta ) = 2 sin( theta ) •cos ( theta )

Q: Use the information given about the angle θ,0 ≤ θ &lt;2π, to find the exact value of (a) sin( 2θ )…

A: If an angle lies in the first quadrant then all trigonometric functions of that angle are…

Q: If A is the dgree measure of an acutre angle and sin A =0.8, then cos(90-A) = a) 0.2 b) 0.4 c) 0.5…

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Q: Given that cos O 45 and that angle 0 terminates in quadrant II, then what is the - 53 value of sin…

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Q: Given that the point (6, -8) is on the terminal side of an angle, 0, find the exact value of the…

A: (6,-8) is a point in forth quadrant. Only cosine and secent are positive.

Q: Given a right triangle 4 ABC and sin A t. What is tan(A)?

A: 1-sin2t = cos2t

Q: Sketch a triangle that has acute angle e. cos(0) = 17 V514 15 17 8 15 17 V514 15 17 8 15 Find the…

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Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find tan x, cos…

A: To find - tan x , sin x &amp; cos x

Q: Use the information given about the angle 0, cot 0 = - 4, sec 0<0,0s0<2n, to find the exact values…

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Q: A ramp leading to the freeway overpass is 180 feet long and rises 23 fet. What is the measure of the…

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Q: Given that terminal side of angle 0 is in quadrant IIII and that tan(0) V3 find the exact values of…

A: We are given tanθ=35 in quadrant IIII. In quadrant IIII, cosine is positive and sine is negative.…

Q: In A QRS, LR is a right angle. If QS = 20 and m LQ=49°, what is the length of SR? Select one: 20 tan…

A: In right angle triangle △ABC, right angled at B sin θ=PH=perpendicularhypoteneous=opposite…

Q: se the information given about the angle 0, cot 0 = - 10, sec 0<0, 0s0< 2n, to find the exact values…

A: Given : therefore, angle must be in 2nd quadrant

Q: Show work.

A: Given:

Q: Use the information given about the angle 0, cos 0 = <0<T, to find the exact values of the…

A: We have to find

Q: Given that the point (-3, –2) is on the terminal arm of angle 0, find the exact value of cos 0.

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Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

A: topic - trigonometric ratios sec θ=1cos θ=hypotenuse basecos θ =base hypotenusecot θ=cos θsin…

Q: If sin a = 17 and cos B =- for a second-quadrant angle a and a third-quadrant angle B, find the 13…

A: Given :  sinα=817 cosβ=-513 We have to find out the value of sinα+β.  We know that…

Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that

A: The triangle ABC is  We have to prove   ,where  the length h of the perpendicular from point B to…

Q: Given that sin(θ)>0 and cot(θ)>0, in which quadrant does θ lie

A: Using trigonometric ratios quadrants

Q: Which of the following is undefined on the unit circle? cot л O tan 27 COST sin

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.