Prove the identities: (sec 0 – cos 0)(csc 0 – sin 0) = sin 0 cos 0 -

Q: in−1(x) + cos−1(x) =  ? 2

A: Given that : The equation is sin-1 (x) + cos-1 (x) = π2 .

Q: Verify that the equation is an identity. cot 0 cos 0 cos 0 81. cot 0 - cos 0 1- sin 0

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: 12. Verify the identity by transforming the left side of the equation into the right side. csc 0-sin…

A: 12. We need to verify the following identity cscθ-sinθ = cotθcosθ

Q: 1- cos 20+ sin 20 Prove tan e. 1+ cos 20+ sin 20

A: We can prove the given statement as below

Q: If sino + sin'0 +sin' 0 = 1, then prove that cos 0-4 cos* 0+8cos 0 = 4.

A: sin2 x + cos2 x = 1.

Q: 1 + sin 0 1 + sin 0 1 - sin 0 |cos 6|

A:

Q: Find the exact value ofcos(α+β)under the given conditions.   sinα=15/17, 0<α<π/2​;…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 12 cos(x) = 13 csc(x) < 0 sin(2x) =…

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Q: Suppose that sina= 13 and TC <a<Tt. 2 Find the exact values of cos and tan 2 cos = 0 %3D CoS 2 | %3D…

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Q: Verify the ff. identities: cot 0 – sin 0 sec 0 6. - cos? 0 – sin? 0 %3| - sec 0 csc 6

A:

Q: 25. Verify the identity. cos (-0) 1+sin (-0) sec 0 + tan 0

A: here is the proof

Q: Prove the identity. sin^2(θ)−tan(θ)cos^2(θ)−cot(θ)=tan^2(θ)

A: We have to prove the identity                                         sin2θ-tanθcos2θ-cotθ=tan2θ

Q: Prove the ff Trigonometric Identities: 2. (1- cos²0) csc=0 = 1 3. sect V(1– sin²0) = 1

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Q: Establish the identity. cos e 1 cos 0- sin 0¯ 1- tan 0

A: Given,            cosθcosθ-sinθ=11-tanθ

Q: Verify the identity 2 sin3θ cos θ + 2 sin θ cos3θ= sin 2θ.

A:

Q: find the exact value of cos 227 cos 167 + sin 227 sin 167 by using the formula for cos (a-b).

A: Solution :       We have to find the exact value by using the formula for cos(a - b)  = ? Now, Given…

Q: A = -, find sin 2. If 90° <0 < 180° and cos 0 :

A:

Q: Use trigonometric identities to solve cos(2θ)−cos(θ)=0 exactly for 0∘≤θ&lt;360∘

A: Given equation,

Q: 2) Verify that the equation is an Identity. tan 0 = sin 0 %3D sec 0

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Q: prove the identity tanθ =1-cos2θ / sin 2θ

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Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

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Q: Show that V2 + V2 cos 2 and cos 16 and use it to find sin 16 Show that

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Q: Show that the equation sin(cos 2x)= V1-4x² is an identity. %3D

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Q: Establish the identity. 9) sin(20) + cos 0 sin 0 = 3 cos Osin 0

A: Explanation of the solution is given below...

Q: Establish the identity. 2 cos - 0 1- 1+ sin 0 = sin 0

A:

Q: 8. a. Verify the given identity: sec(0)- cos(0) = sin(0))tan(0) b. Use part a to solve the equation:…

A: (a) given as sec θ- cos θ= sin θ tan θ Simplify left-hand side as sec θ- cos θ= 1cos θ-cos…

Q: Find the exact values of the ren cos 0 = tan 0 < 0 sin 0 = tan 0 = csc 0 = sec 0 = cot 0 =

A: Definition used-                           sinθ =1-cos2θtanθ =sinθcosθcscθ =1sinθsecθ =1cosθcotθ…

Q: 5n 25) cos 12 + sin sin 12 12 cos 12

A:

Q: Verify that the equation is an identity. cos 0+1 cos 0 %3D tan 20 sec 0-1

A: Topic- Trigonometry Equation

Q: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

A: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

Q: prove the identity.  1+Cos θ= Sin2θ/ 1-Cosθ

A: Given : 1 + cosθ = sin2θ1 - cosθ

Q: Prove the identity: sin(0)-co sin (0) +cos (0)–1 cos (8)+1 sin(0)+1 cos(8)

A: On proving this we will get

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

A:

Q: Prove that cos 17° + sin17° tan62° %3D cos17° – sin17°

A: Devide the whole left side by Cos17° and use formula of tan(a+b)

Q: Find cos 20 if sin 0 %3D cos 20 = %3D

A:

Q: VERIFY THE IDENTITIES

A: To verify

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

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Q: 3 Verify the identity: csc (0) 1-cos2 (0) cos (20) 2 sin(0) + 2tan(0) cos(0) = %3D sin (0)

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Q: 7. Prove the identity. 1-cos 20 tan 0 %3D sin 20

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Q: Verify that the equation is an identity. 1+ cos 0 Show that (csc 0+ cot0) = 1- cos 0

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Prove the reciprocal identities csc 0 = sin 0 1 and cot 0= sec 0 = cos ) tan 0

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Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

Q: 8. Prove the identity sec 0 – cos 0 = sin 0 tan 0

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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: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

A:

Q: Prove that sin 4A = 4sinA cos³A – 4 cosA sin'A.

A: we have to show that the following

Q: cos 30° + sin 60° V3 Prove that 1+ cos 60° + sin 30°

A: Trignometric ratios are

Q: (), tan (;). 4. Find sin given that sec(0) = 2, where 90° < 0 < 180° COS

A:

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

A: It is trigonometric verification.