If the terminal point of an are of length 0 lies on the line joining the origin and the point (-3,-1), what is cos? 0-sin 0?

Q: 4. Use the power-reducing formulas to write sin?xcos²x in terms of the first powers of cosine.

A:

Q: The point P on the unit circle that corresponds to has coordinates 4 Thus, 2 sin 4 cos 4 and tan 4

A: The given coordinate are 22,22

Q: Let (8, 6) be a point on the terminal side of 0. Find the exact values of cos 0, csc 0, and tan 0.

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Q: If tan(θ)=15/8, 0 ≤ θ ≤ π2, then what is sin, cos, and sec of (θ)??

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Q: Find the exact value of each of the remaining trigonometric functions of 0. 3 sin 0< 0 5 tan 0D

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Q: Find the remaining trigonometric ratios of theta based on the given information. sec = -3 and sin is…

A: The given trigonometric ratio is secθ=-3 and sinθ is positive. secθ=3-1=rx By using the Pythagoras…

Q: Find sin π/4, cos π/4, and tan π/4.

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Q: 8. If tan 03D and 0 is in QIII, what is sec 0?

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Q: of

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Q: Calculate sin 225° and cos 225° exactly. Use the fact that the point P corresponding to 225° on the…

A:

Q: Given that (1-cos(Theta))/2=0.7, find sin^2(THETA/2)

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Q: find sin θ and cos θ if the point (9.37, 7.03) is on the terminal side of θ

A: The point (9.37,7.03) is the terminal side of θ. The distance between the point and the radius is…

Q: To further justify the Cofunction Theorem introduced in theprevious section, use a calculator to…

A: Evaluate: sin(24.3∘) and cos(65.7∘) The given pair sin(24.3∘) and cos(65.7∘) is cofunction of one…

Q: If 0 is an angle in standard position and its terminal side passes through the point (20,21), find…

A: Given :            If theta is an angle in standard position and its terminal side passes through…

Q: Find the remaining trigonometric functions of θ if cos(θ) = √3/2 and θterminates in QI.

A:

Q: Find the remaining trigonometric ratios of theta based on the given information. sin theta = 4/5 and…

A: It is given that sinθ=45                 because sinθ=oppositehypotenuse opposite side to θ=4…

Q: Given that tanθ=−1/3, and cosθ>0, find sin⁡2θ, cos⁡2θ, and tan2θ

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Q: if sinθ= 2/√5, and θ terminates in QII, find cosθ.

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Q: Find the exact value of cos 0, given that sin 0 = -. 11 and 0 is in the third quadrant.

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Q: Suppose that sin a= and 90° <a< 180°. %3D Find the exact values of sin and tan 2

A: Given Data: Equation: sinα=35 Interval: 90°&lt;α&lt;180°   The value of cosα is, cosα=1-sin2α…

Q: find the exact value of sin(2θ), cos(2θ), tan(2θ), and the quadrant of 2θ. sin(θ)=-(√10)/10), θ in…

A: Given,

Q: Evaluate the trig function by drawing the appropriate triangle.  1. tan(π/3) 2. cos(7π/6) 3.…

A: We know that  Tan (theta)=opposite side/adjacent side Cos (theta)=adjacent side/hypotenuse…

Q: If ß is such that sin 230, the of the following two values?

A:

Q: Suppose the terminal sides of θ and θ/2 are in the first quadrant and sin(θ) = (3√7) /8. Find cos…

A: Given:

Q: Find the exact value of cos a/2 given that tan a = 15/8 ,a lies in Quad III.

A: Given: tan a=158 a is lies in Quadrant III. We have to find the exact value of cosa2 Use the…

Q: If tan θ= (√2)/5 and π (greater than) θ (greater than) 3 π/2, find the exact value of cos 2 θ

A: We have to solve the trigonometry question

Q: Let (7, – 2) be a point on the terminal side of 0. Find the exact values of sin 0, csc 0, and cot 0.

A: form a triangle : Apply Pythagoras :

Q: Show that cos (90 degree - A) = sin A.

A: The given identity is cos90∘ -A=sinA.

Q: Use the facts that cos (π/6)=((√3)/2) and sin (π/6)=1/2 to find the exact value of tan ( π/12)

A: Given: -

Q: How do you solve this and can you show me step by step?

A: For a trigonometric function, the length of one complete cycle is called the period.By graphing the…

Q: Let sin θ = −5/13, and cos θ = −12/13, and find the indicated value.   tan θ =

A: Given Sin θ = -513  and Cos θ = -1213We find tan θ .

Q: - Find the value of each of the following: 4T Cos 3 sin(-30°) , ,sec(165°)

A: as per our guidelines, i can answer only one equation with three subparts. To know rest, please re…

Q: If sinθ = 0.6, then what is tanθ?

A: Formula used:

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). (4, -7) sin(2u) -0.87 |x…

A: Topic:- trigonometry ratios

Q: Given that cos θ = − 3/5 and that θ is in QIII, find the exact values of sin θ, tan θ, csc θ, sec θ,…

A: As cos θ = (Base) / (Hypotenuse) = -3 /5. Cos θ is negative in quadrant III. Find the perpendicular…

Q: Find the exact value of each of the remaining trigonometric functions of 0. tan 8 = 3 '4' cos 0 <0

A: Given problem:- Find the exact value of each of the remaining trigonometric functions of θ tan(θ) =…

Q: Suppose the terminal side of θ is in the fourth quadrant, the terminal side of θ/2 is in the fourth…

A: The given information is,

Q: Let (−4−5) be a point on the terminal side of θ. Find the exact values of sinθ, secθ, and tanθ.

A: (x, y) = (-4, -5)

Q: 2. The terminal side of angle 0 in standard position goes through the point (-1,-5). a) sin(0) b)…

A: Recall the following. If the terminal side of the angle θ that passes through the point x, y, then…

Q: Find the exact values of the sine, cosine, and tangent of the angle. 12 3 -1 sin (- ) 2 2 12 1- 3…

A: Let us consider

Q: Find sin(2θ), if cosθ=24/25 and θ lies inquadrant IV.

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Q: Find the exact value of sin7pi/4+cos4pi/3

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Q: Find sec ? if tan ? = 8/15 and ? terminates in QIII.

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Q: 7. If sin 0 and 0 is in the first quadrant, find cos 20. %3D

A: The solution is given below:

Q: Suppose that sin a = and t <a < 13 Find the exact values of sin and tan 2. 2.

A:

Q: Use the given information sec α = -3, π/2 &lt; α &lt; π to find the exact value of the following: a.…

A: Given:             sec α = -3,            π/2 &lt; α &lt; π        cos α = =1sec…

Q: Use exact values to show that the following is true. sin 60° = 2 sin 30° cos 30°

A: We have to show

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

A: As x= r cosθ and y= r sinθ

Q: Use the Half-Angle Formula to determine cos(105°)

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.