What is the exact value of cos x if the point (-4,2) lies on the terminal side of n angle x when drawn in standard position

Q: tan 30° Determine the exact value of cos 45° x sin 60° с. d. 3 學學 2.

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Q: Suppose the terminal side of an angle 0 passes through the point (-4,-5) when drawn in standard…

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Q: Suppose that cot x = -3 and -< x < n. Find cos -. 2 2

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Q: Find the exact value of the expression tan π/6 cos π/3 - cos π/2. Do not use a calculator.

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Q: Find the values of sin 2θ, cos 2θ, tan 2θ given: tan θ= 9/40 if π < θ < 3π/2

A: Given that : tan θ= 9/40 if π &lt; θ &lt; 3π/2

Q: tanθ= 1/2,     π<θ< 3π/2 Find the exact value of cos(2θ)

A: We have to find the value of the given condition

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: 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: Evaluate cos -13 cos tan 4

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Q: what is cos(tan^−1(−1/2))

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Q: if cosθ=-(1/9) and θ is not in QII find tanθ

A: We will find the value of  tanθ. Here we will use the formula  . That is         Sec2θ - tan2θ =1

Q: Find the exact value of the expression cos (5π/6 + 2πn) + tan (5π/6 + nπ), n is an integer.. Do not…

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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: How can there be three forms of the double-angle formula for cos 20?

A: Three forms of the double angle formula for cos 2θ.

Q: What is the exact value of cos 157.5° using half-angle identities?

A: We know: cosx2=±1+cos x2   (half angle identity for cosine) Substituting x=315° we get:…

Q: 6. Use the fact that cos to find the exact value of tan 2 and csc- 24 48

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Q: Find the exact value of the expression cos-1(cos 2 π), if possible. Do not use a calculator.

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Q: -1 coS (sin(#). 6

A: Given that: cos-1sin7π6

Q: Give the exact value of the expression without using a calculator. 4 - 1 tan 3 COs tan - 1 12

A: Use the inverse trigonometric identities and solve the problem.

Q: If θ= −3π, then sin(θ) =    cos(θ) =

A: We have, θ = -3π Formula Used: cos-θ = cosθsin-θ = -sinθ To evaluate: The values of sinθ and cosθ

Q: The question says: "Find sin(x/2), cos(x/2), and tan(x/2) from the given information: cosx= -4/5,…

A: It is given that,

Q: If sin 0 = and 0 <os (a) determine the EXACT value of cos 20 (b) determine the EXACT value of sin().

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Q: Find the exact value of cos(theta/2) given sin theta=-3/5 , where sec(theta)<0

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Q: Suppose that tan a=-3 and 90°< a<180°. Find the exact values of cos and tan 2 - 2 JT cos Undefined 2…

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Q: If  2sin2 theta  - cos2 theta = 2  then find the value of theta

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Q: Find the exact values of cos theta, sin theta, and tan theta if theta is in standard position and P…

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Q: Let (3, 4) be a point on the terminal side of 0. Find the exact values of cos 0, sec0, and cot0.

A: We have to find cos θ , secθ and cotθ

Q: Find cos θ and sin θ if tan θ = 4 and π ≤ θ &lt; 3π/2

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Q: If tan(cos-1(x) = , find x. 12 Enter an integer or a fully reduced fraction such as 4, -16, 3/7 ,…

A: Solve the following

Q: If the terminal side of a contains the point (-12, –5) and the terminal side of B.contains the point…

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Q: Find the exact value of cos 20 if cos 0 and 0 lies in QII %3D

A: cos2θ = 2cos2θ - 1          =2(-13)2 - 1          =29 - 1          =-79

Q: Find the exact value of cos O and cot0 given csc0=- 9 and tan 0 <0. Cos 0 = cot0=

A: We use Trigonometry ratios

Q: Determine the value of a, (give a reason for your choice); if cos 1 tan- 3x. 4x

A: Given: cos-114x=tan-13x we know that cos-1y=tan-11-y2y similarly,…

Q: Suppose that sin 0 = and 5 %3D - Find the exact values of cos and tan - 3.

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Q: Find the exact value  sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6)

A: we know that ,  sin ( a + b ) = sin ( a ) • cos ( b ) +                               cos ( a ) sin…

Q: 3. Find the value of cote + co sece 5. If cos e = %3D

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Q: 11 |- tan 20 Cos 20 %3D

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Q: sinθ

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Q: Let (8, 6) be a point on the terminal side of 0. Find the exact values of cos 0, csc0, and tan 0.…

A: To find out the values of cosx, cscx and tanx

Q: Suppose that -90 degrees &lt;θ&lt; 90 degrees. Cos θ/2  Is it positive or negative

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Q: cos sin

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Q: What is the exact value of cos (-112.5°) using the half-angle identities? 2+v2 2 /2-/2 2-/2 /2+v2

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Q: 4 cos(0) = If 17, what is the value of Cos(-0)?

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Q: Suppose that tanɑ=-- and 90°<a<180°. 3 Find the exact values of cos and tan 2 2 cos Undefined 2 ? a…

A: Using trigometric ratios

Q: Determine the exact value of cos(tan-1(6/7)+tan-1(3/5))

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Q: Find the value of sec u if cos u = - 7

A: The sec and cos are important trigonometric functions. The other four functions are sine, tan, cot,…

Q: cos(nt/2) <t+Ⅱ.

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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.