Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

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: Show that the following is true. cos(X-pi/2) = sinX

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Q: Verify the identity. (csc^2 θ − 1)sin^2 θ ≡ cos^2 θ

A: Given the identity (csc2 θ -1)sin2 θ=cos2 θ. We need to verify the identity.

Q: Rewrite sin (z + ) in terms of sin z and cos z. 6.

A: Given : sinx + 7π6

Q: True or False sin² 0 = 1 – cos² 0.

A: Use the trigonometric identity sin2θ+cos2θ=1 to verify the statement.

Q: Verify the identity: sin4 t - cos4 t = 1 - 2 cos2 t

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Q: Prove the following identities 1- sine (sece-tane) 1+sine

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Q: Prove the identity. cos8x+cos2x / sin8x+sin2x = cot5x

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Q: Using an appropriate identity, compute the exact value of sin(375°). V3-V2 4 V6-V2 2 V2+v3 4 O v2-1…

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Q: Prove the identity sin^2 THETA + cos^2 theta =1

A: Given: prove the identity

Q: II. Find tan (A +B) and tan (A - B) if: 5. cos A = - and sin B =, both A and B in QII.

A: As per bartleby guidelines we only give first question answers.

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: Evaluating √√9-x² dx using trigonometric substitution will (A) 18 18 [*/2 cos²0d0 0 **/2 B 0 Cab…

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Q: III. Verify the identity. 5.) 1-Cos 2x tan?x %3D 1+ cos 2x

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Q: Verify the identity cos 4t = 1 - 8 sin2 t cos2 t.

A: To prove: cos4t=1-8 sin2t cos2t

Q: Hence prove that sin?a + cos²ɑ = 1 3.2

A: Since you have posted more than one question, we solve the first one for you. For the other…

Q: 16) Complete the identity. sin^2 x-1=

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Q: Evaluate cos a sin'r dr. COS 2 3.

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Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: Verify the identity. cos² t sin t -=cos tcot t

A: We have to Verify the given  identity cos2tsint=cost cott

Q: sin (3pi/2 + theta) = -cos (theta)

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Q: 7. Prove: cos(0 + 2) 7) = sine.

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Q: Prove the identity. cos?x cscx+1 1- sinx cscx

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Q: 3.2. Prove the following identity. 1+ sine sint = 2+4 tan 0 cose cose

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Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.

Q: Prove the identity 1-2cos^2x/1-2cosxsinx = sinx+cosx/sinx-cosx

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Q: 4. Prove the following identity: 1 - tan?a cos2a %3D sec?a Sin(420) b sin7d

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Q: 18. Prove the identity. cos a csc a + sin(-a) = sin a

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Q: Prove the identity. TT COS +0+ -sin 0

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Q: Prove that, cos20 + sin?0 = 1

A: Let a, b and c be the lengths of right angled triangle. Then by definition,

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: -) Prove the identity. 1+ sin ß cos ß cos B + 1+ sinß 2 sec B %D

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

A: Given: Verify the identity by transforming the lefthand side into the right-hand side. We know that…

Q: Prove the trigonometric identity: () = 2 csc2 1 - cos 0

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Q: sin 0(3sin? 0+ 4cos? 0) = 3 cos 0 + cos³ 0 4. Prove that tan 0

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Q: Verify the identity: cos4 t - sin4 t = 1 - 2 sin2 t

A: We have the identity cos4t-sin4t=1-2sin2t   Consider LHS LHS=cos4t-sin4t Rewrite as…

Q: Prove that the following identity is true.   sin4 t - cos4 t / sin2 t cos2 t = sec2 t - csc2 t

A: Given that sin4t-cos4tsin2tcos2t=sec2t-cosec2t

Q: Q3:B. Prove that: sin-13 5 sin-1 = cos 84 17 85

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Q: Prove the identity Sin3A=3SinA-4Sin3A

A: Given identity is,Sin3A=3SinA-4Sin3A

Q: 1 Q:Evaluate: 3 sin x+cosx

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Q: Verify the identity. sin 40 = 4 cos '0 sin 0 – 4 sin °0 cos 0

A: To prove that  sin4θ=4 cos3θ sinθ-4sin3θ cosθ

Q: Verify the identity. (1 - cos?0)(1 • corin) 1 (1 - cos^»)(1 + cor°w) = sin°() (1+ %3D sin (x)…

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Q: Prove the identity cos6x + sin6x = 3cos*x- 3cos?x - 1

A: To Determine: prove the identity  Given: we have cos6x+sin6x=3cos4x-3cos2x-1 Explanation: we have an…

Q: Prove Sin (A+B)+Sin (A-B)=2SinA.CosB

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Q: prove it 6. *cos 4x = 1 - 8 sin?x + 8 sintx

A: Prove : cos 4x = 1 - 8 sin2x + 8 sin4x

Q: Prove the identity sin30 cos 30 = 2 cos e sin 0

A: The given equation is sin3θsinθ-cos3θcosθ=2 the objective is to prove the identity. the formula for…