The value of the expression cos? x – tan? x – 8 + sin² x + sec² x is 2 -

Q: Find the exact value of the expression. -1 15 cos tan 8

A: The given expression is costan-1158. It is known that, cosarctanx=1+x21+x2.

Q: Find sin given 2 -哈;(5,) 11 tan 0 %D

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Q: Verify the identity. 6 cos2(x) – 3 = 3 – 6 sin?(x) - (| ([ 6 cos?(x) – 3 = 6(1 3 - 3 = 6 – = 3 - 6…

A: Given: 6cos2x-3=3-6sin2x We have to verify the given identity. Formula used: sin2x+cos2x=1

Q: Find the exact value of the expression.

A: Our Aim is to find the exact value of the expression given below:-

Q: Use the figure to find the exact values of sin 2x, cos 2x, and tan 2x. 4 8 а) sin 2x = b) cos 2x =…

A: From the given figure:   With respect to X.   Perpendicular=4Base=8   From the Paythagorous theorem:…

Q: Find the exact value of the expression sin 100° cos 40° − cos 100° sin 40°

A: According to the sine difference formula, . This formula can be used to obtain the value of the…

Q: Give the exact value of the expression without using a calculator. 12 8 -D1 COS tan -1 + tan 15 12 8…

A: Use the inverse trigonometric formula, tan-1x+tan-1y=tan-1x+y1-xy So,…

Q: Find the exact value of the expression. 2 tan cos 2

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Q: Match the trigonometric expression with its simplified form. sec2(x) – 1 sin²cx) O sec?(x) sec(x)…

A: Use the Pythagorean identity

Q: Simplify to an expression of the form (a sin(0)). 6 sin 기(프) 6 cos( 4

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Q: What expression is equal to the given expression below? 1- tan²x 1+tan²x a. sin 2x b. cos 2x -sin 2x…

A: Given: 1-tan2x1+tan2x We write tan x by using the ratio of sin x and cos x.

Q: tan(cos(e2) + cosh(2 + j3))

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Q: Prove the identity. 2 tan(x) 1+ tan?(x) sin(2x)

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Q: Given the expression below, determine tan (0/2). sin 0 - x². 1+cos 0

A: We have to find the value of tanθ2 by the given expression sinθ1+cosθ=x2 first using the formula of…

Q: Verify that the equation is an identity. 41) cos 즉 2 = 1 - sin x 2 X sin 2

A: Here we have to verify the equation is an identity.   [cos(x/2) - sin(x/2)]2 = 1 - sin x

Q: If and , where x and y lie between 0 and π/2, evaluate the expression.61. cos(x − y)

A: Given :              sin x  = 13  and sec y  =  54      cos (x - y)  =  cos (x) cos (y) + sin (x)…

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

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Q: Evaluate the expression tan(20); cos(0) %3D

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Q: 65. The equation sin? 0 + cos? 0 = 1+ tan? 0 is an identity because sin? (0) + cos? (0) = 1 and 1+…

A: By  using simple identies of trigonometry.

Q: The value of cos x is given. Find sin x and tan x if x lies in the specified interval. 24 COS X= xE…

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Q: Find cos θ and tan θ if sin θ = 0.4 and π/2 ≤ θ < π.

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Q: The value of the expression cos r- tan z-2 + sin z + sec is

A: sin2x+cos2x=1 sec2x-tan2x=1

Q: For all values of α for which the expression is defined, tan(2α)/cos^2(α)= ?

A: let  f(α)=tan2αcos2α

Q: 2. Which is the value of sin2 51° + cos? 51°? COS

A: We know that the trigonometric identity , sin 2 (A)  + cos2 (A) = 1

Q: The value of the expression cos? x – tan? x – 2+ sin² x + sec² x is O 4 sec x O -4 csc x O 4 O 4 tan…

A: Trigonometric equations used to solve the above question:

Q: Find the exact value of the expression. 3 + cos sin sin 8 1 17

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Q: The value of the expression cos² x – tan? x – 1+ sin² x + sec² x is O 2 tan r O -2 csc x O 2 O 1 O 2…

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Q: 2 sin x cos X tan(2x) = %3D 2 cos? x - 1

A:

Q: cos 등 O sin O sin cos 꽃

A: cosπ3

Q: 10) Verify that the equation is an Identity. (tan? x+1)(cos? x-1) = - tan? x 11

A: We have to find out

Q: 2) Find the value of: sec(tan )+ cos(sin ? 2. CoS

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Q: Complete the identity cos^2?+tan^2?+sin^2?=

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Q: Find the exact value of sin α = 5/6, π/2 < α  < π, and tan β = 3/7, π < β < 3π/2. .under…

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Q: Use the figure to derive the formulas for sin sin(). = $(€). [ COS tan TOIN cos e 6 (2). sin 0 cos…

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Q: The expression tan 0 sec 0 when written in terms of sin 0 is sin? 0 sin e b. cos? 0 sin e cos e 1-…

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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: Determine the exact value of tan 45° - cos 30°. c. 1- /3 4. а. 2- 2 b. d. 2- 3 1+ 2 2

A: Given: tan245°-cos30°

Q: Verify the identity cos2 θ/2 = (sin θ + tan θ) /2tan θ

A: sinθ+tanθ2tanθ=sinθ+sinθcosθ2·sinθcosθ=sinθcosθ+sinθ2sinθ=sinθcosθ+12sinθ=cosθ+12=2cos2θ22…

Q: 2. Express each expression in a simpler form. a) cos 0 sec e b) tan 0 cos 0 c) tan 0 + cot 0

A:

Q: Find all the angles [0, 27) that satisfy the equation sin(2x) = tan(x).

A: We know that ,  sin ( 2 x ) = 2sin ( x ) cos ( x )  and tan ( x ) = sin ( x ) / cos ( x )

Q: Simplify the expression cos^2⁡x/1−cos^2⁡x A sin^2⁡x B cot^2⁡x C cos^2⁡x D tan^2⁡x

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Q: The value of the expression cos a tan x – 4 + sin x + sec? a is O 8 tanx O -8 csC x 8 sec x

A:

Q: Write the trigonometric expression as a simplified algebraic expression.

A: The given expression is

Q: Rewrite cos (2 tan¯2v) as an algebraic expression in v. cos (2tan""2v) = |

A:

Q: Determine the exact value of (Cos2 45°/sin 30°) x tan 60°

A:

Q: The exact value of tan COS -11 Cos 2 is: 2 1

A: to find the exact value of tancos-112

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

A: Given:             sec α = -3,            π/2 < α < π        cos α = =1sec…

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.