Verify that each equation is an identity. (sin? x)(csc² x + sec? x) = sec² x ? sec2 x (sin? x)(csc² x + sec² x) sec² x ? sec² x %3D ? sec? x %3D %3D sec2 x

Q: -(주) Evaluate the expression sin Cos

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Q: Perform the indicated operation and simplify. 1- sin t 1 COS t tan t + sect

A: formulae used:

Q: snip

A: The given identity sinθcosϕ2+sinθsinϕ2+cos2θ=1

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A: sin(A + B) = sinA cosB + cosA sinB

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A: Given:

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A: To prove: cosx-5π4=-22cosx+sinx

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Q: Verify the following trigonometric identity. tan(2)csc(x) = sec(x)

A:

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

A: Use the Pythagorean identity

Q: X 25 24 7

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Q: sin? 2t and x = cos² t

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Q: Does this equation hold? eir + e¯iz cos(x) 2

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Q: Convert all of the terms to sines and cosines and simplify to find the expression that completes the…

A: Topic- trigonometry function

Q: Rewrite sin(a−7π/4)in terms of sin(a) and cos(a).

A: Given the query is to rewrite the ue expression.

Q: Now use a Pythagorean identity to simplify csc2 x - 1. 8 sin? (csc x - 1)-8 sin? (esc? x - 1) = 8…

A: Using Pythagorean identity to simplify csc2 x-1 and to find fill in the blank 8 sin2 xcsc2 x-1=8…

Q: Use identities to simplify: 1 + cot? A cosec A sin? A cos A Solution I+cot A sin' A cos' A cosec' A…

A: Given:  sin230°+cos230°+sin245°+cos245°2

Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cos? (1 + sin a)(1 - sin a) =…

A: Simplification

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

A:

Q: Determine whether the equation is an identity. If it is an identity, prove it. ((cot^2)x) / (csc x -…

A: Given,

Q: csc? a + sec? æ 1 cos x sin z

A:

Q: Write tan: in terms of sec: using the Pythagorean Identity for: Part: 0 / 2 Part 1 of 2 (a) = in…

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Q: Simplify: cot x+tan x a) ఆ csc? x b) tan? x – tan? x sin² x

A: Answer

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Verify the following: cos2θsec2θ-1=sin2θ

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

A: Given expression : cos2x -tan2x-8+sin2x+sec2x We need to evaluate determine the value of above…

Q: Complete the identity using the triangle method (a) cos(tan^−1(x)) = (b) sin(sec^−1(x))= a)=…

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Q: Find sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(B). 4 7

A:

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B). 20 35 B (a) sin(a) and cos(ß) (b)…

A: Given, Using Pythagoras theorem,

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin? a (1 + cos a)(1 – cos a)…

A: Given:  1+cos α1-cos α=sin2 α To Find: To verify the given identity.

Q: a) For a + 90°, prove the identity sec a = b) Use your calculator to determine sec 82°. cos a.

A: here we have to prove ,  a) secα=1cosα for α≠90∘ b) sec82∘=?

Q: sin?A = 01- cos?A cos?A - 1 1+ cos?A

A:

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a (1 + cos a)(1 – cos a)…

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Q: Simplify the expressions below. (a) tan(cos−1 x)     (b) sin(tan−1 x)

A: (a)

Q: . sin x + cos x cot x = csc x

A:

Q: Verify that the equation is an identity. cos (a-B) = tan a+ cot B cos a sin B

A:

Q: Find sin(a) and cos(ß), tan(x) and cot(B), and sec(a) and csc(ß). 16 28 (a) sin(x) and cos(ß) (b)…

A: From the given figure, corresponding to the angle α.  Perpendicular=16Hypotenuse=28 As we know that…

Q: If the identity sin (x + a) = sin x cos a + cos x sin a is differentiated with respect to x, is the…

A: The equation is differentiated with respect to x. a is constant with respect to x.

Q: Verify the identity shown below. cos e sec e – sin 0 tan 0

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Evaluate sin" a cos a da.

A: Given : ∫sin4x cosx dx

Q: The simplified form of [csc(-a) + cos(-x)] · [5 sin? x sec? a] -5 sin æ sec? æ + 5 sin² x sec x O -5…

A:

Q: Verify that the equation is an identity. 2 tan 1+ cos x

A: we know thatcosx=2cos2x2-1consider…

Q: . Complete the identity: sin2x + tan2x + cos²x =? A) cos3x B) sec?x C) tan2x D) sin x

A:

Q: Simplify: cos^4 A − sin^4 A

A: In this question, we need to simplify cos4 A -sin4 A.

Q: Is the equation an identity? sin-1 = tan-1 ( x / sqroot(1 - x2))

A: Consider the given equation sin-1x=tan-1x1-x2

Q: Verify that the following trigonometric equation is an identity. 2 0 sin2 0 =tan? 0+cos? 0-1 tan

A: Here we have to verify that the given trigonometric equation is an identity.  tan2θ sin2θ = tan2θ +…

Q: 3 If sin (F) = =, what is cos (G)? H

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Q: Simplify the trigonometric expression. 2 + tan2(x) sec?(x)

A: Given:

Q: tan? A-sin? A sec? A–1 Prove the identity sin A:

A: Explanation: Given that,                  We take Right Hand Side(RHS) and simplify…

Q: cos(A+ B) cos² A – sin? B sec(A – B) =

A: Consider the provided question, We have to prove the identity  secA-B=cosA+Bcos2A-sin2B