Prove that each of the following identities is true.     tan A/sec A = sin A

Q: If tan A =n tan B and sin A =m sin B, prove that cos A = m²-1 %3D %3D n-1

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Q: Verify the following identity by algebraically turning one side into the other:…

A: we have to prove that1+tan2u1-sin2u=1

Q: Prove that each of the following identities is true.   cos 4 t - sin 4 t / sin  2 t      = cot 2 t…

A: Given: prove that cos4t-sin4tsin2t=cot2t-1 we know that a2-b2=a+ba-b and  cos2x+sin2x=1

Q: Prove the following Sin hZ=0

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Q: Prove the identity: sin? x + cos² x = 1, using the Mean Value Theorem.

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Q: Prove each identity.   sin (A + B) + sin (A - B) = 2 sin A cos B

A: We have to prove: sinA+B+sinA-B=2sinAcosB We know the formulae for trigonometric if two angle are in…

Q: The following is a valid trig identity: sin (x + 5) = cos (x True False

A: Solution-

Q: Evaluate each of the following: 1. [ sin 5.x sin xdr

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

Q: Show that each of the following is true.     sin ( 3 pi/2 - x) = - cos x

A: Given: prove that sin3π2-x=-cosx we know that sinA-B=sinAcosB-cosAsinB

Q: Prove the following identity: tan? x +1 = sec² x

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Q: Verify the following identity: 2. sin y - 1 1 sin y -1 sin y

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Q: Prove that each of the following identities is true.   cos x / 1+ sin x  + 1+ sin x  / cos x  = 2…

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Q: Prove the following identities. a) cos (37 + x) x = sin x 2

A: Follow the procedure given below.

Q: Prove each of the following identities.     cot  theta  = sin 2 theta  / 1- cos 2 theta

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Q: Let z E C. Prove the following using concepts in C. (a) sin(-2) = – sin z (b) cos(-2) = cos z (c)…

A: The

Q: Prove each of the following identities.     sin 4 A  = 4 sin  A cos 3 A - 4 sin 3 A cos A

A: Given: prove that sin4A=4sinAcos3A-4sin3AcosA for verifying this we solve left hand side using given…

Q: Prove the following identity, showing all steps clearly. cos x + tanxsinx = sec x

A: Prove the following identity: cos x + tanx·sinx = sec x

Q: Prove the identity of (1 + cot A - csc A) (1+tan A + sec A) = 2

A:

Q: Prove that each of the following identities is true.   sec theta  - cosec theta = sin   theta - cos…

A: Given identity is: secθ-cosecθ=sinθ-cosθsinθcosθ Since, sinθ and cosecθ are reciprocal to each…

Q: Verify that the equation is an identity. = 2 tan a sec r 1 sin r 1+ sin a

A: We add the left side using LCD

Q: Prove that each of the following identities is true.   1 + sin theta  = cos 2 theta  / 1- sin theta

A: To prove 1+ sinθ =cos2θ1-sinθ

Q: Show that sin (A + B) + sin (A – B) = 2 sin A cos B. -

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Show that each of the following is true.cos (x - pi/2) = sin x

A: Given: cosx-π2=sin x To show: The given identity is true.

Q: Find the exact value of each of the following under the given conditions. a. cos (a + B) b. sin (a +…

A: Given: When tan α=34, π<α<3π2, sin α=-332+42=-35  and  cos α=-432+42=-45. When cos β=213,…

Q: Prove each of the following identities.     sin 2 theta  = 1- cos 2 theta /2

A:

Q: Show that each of the following is true. cos (x - pi/2) = sin x

A: Explanation: There is a Trigonometry Identities that: cos(A−B)=cos(A)cos(B)+sin(A)sin(B)

Q: Prove the following Sin? Z + CoS² z = 1

A: To prove that sin^2z+cos^2z=1

Q: Prove that each of the following identities is true.     sin 2 x (cot 2 x +1 )= 1

A:

Q: Prove that the following statement is not an identity by finding a counterexample. sin 6 = V1- cos?…

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Q: Prove that each of the following identities is true.   1- sec x / 1+ sec x = cos x - 1 / cos x + 1

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Q: tan (0+180°) =tan(0).

A: We need to prove the identity:tanθ+180°=tanθ.We will use the formula:tanx+y=tanx+tany1-tanx. tany…

Q: 2. Prove each of the following identities: (a) tan x sin x + cos x = sec x Answer:

A: tan x sin x+cos x=sec x

Q: Prove that each of the following identities is true.   cos x / 1+ sin x  + 1- sin x  / cos x  = 0

A: Given : cos x / 1+ sin x  + 1- sin x  / cos x  = 0   Taking LHS, = cos x / 1+ sin x  + 1- sin x  /…

Q: Show that the following holds true. 1 csc A = sec A = cot A = sin A cos A tan A sin A = cos A tan A…

A: In any right angled triangle, sin A=OppositeHypotenusecos A=AdjacentHypotenusetan…

Q: Prove that each of the following identities is true.     sin 4 A -  cos 4 A = 1- 2 cos 2 A

A: In order to prove the identity sin4A-cos4A=1-2cos2A, start from the left hand side and prove the…

Q: Prove the following identities.    tan B /2 = sec B  / sec B  cosec B + cosec B

A: Explanation: Given that,  tanB2=secBsecBcosecB+cosecB

Q: Prove that the following identity is true. sin x + 1 tan x cos x + cot X

A: Explanation is given below

Q: Prove each of the following identities.     sin 3 theta = 3 sin theta - 4 sin 3 theta

A: We have to prove the identity: sin 3θ=3 sin θ-4 sin3 θ Taking LHS part of the identity, LHS=sin…

Q: Is the following indentity true? sin (A) – cos“(A) = 1+2cos²(A)

A:

Q: Prove that each of the following identities is true.   sec theta +1 / tan theta =  tan theta / sec…

A: Our Aim is to prove the trigonometric identity given below:-sec (θ)+1tan (θ)=tan (θ)sec (θ)-1 -(i)

Q: Prove that each of the following identities is true.     cos x (cosec x + tan x ) = cot x + sin x

A: Given: cos x (cosec x + tan x ) = cot x + sin x

Q: Prove that the following identity is true. sin? x(cot? x + 1) = 1

A: Given : sin2xcot2x+1 = 1

Q: Prove the following identities: sin? 0 - cos? 0 b) tan 0-1=- sin O cos0+ 0 cos²

A: We can prove the following as below.

Q: Prove that the following identity is true. tan x sin? x + sin x cos X sin x - cos x COS X cos x - 2…

A: