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

Q: Prove the identity : Sino-tane. cos'e Case-1+Sin?0

A: Solution of the problem as follows

Q: snip

A: Given: The equation is sin 4θ = cos θ4 sin θ - 8 sin3 θ .

Q: Find the exact value of the express 12 sin sin tan 13

A:

Q: Verify the identity: (cos θ sec θ)/cot θ= tanθ.

A: We have to verify cosθ secθcotθ=tanθ We know that secθ=1cosθ and cotθ=cosθsinθ Now, LHS=cosθ…

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

A: We have to prove, 1-cosθsinθ+sinθ1-cosθ=2 cscθ

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

A: here is the proof

Q: Verify the identity: cos θ sec θ/ cot θ = tan θ

A: Given :cos θ secθcot θ=tan θTo verify the given identity .

Q: tan 8 Prove the following trigonometricidentity: sin a tan 8+1

A: Break tan (theeta) into sin (theeta) and cos(theeta)

Q: Verify the identity. tan(0) sin(0) + cos(0) = sec(0) tan(0) sin(0) + cos(0) sin(0) + cos(0) cos(0)…

A: (1)tan(θ)sin(θ)+cos(θ)=sec(θ)tan(θ)sin(θ)+cos(θ)=sin(θ)cos(θ)·sin(θ)+cos(θ)…

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: tan + 1 tan ( = 1 sin cos 0 tan o = sin + sin²0 (cos ) (1 + sin o)

A:

Q: Show that tan(x) + cot(x) = sec(x) csc(x). (Verify this identity.)

A: The answer is given below: Remember 1)   sin(x)cos(x)=tan(x)2)cos(x)sin(x)= cot(x)3) sin2(x) +…

Q: 16. Verify sin(180° – ) = sin e (SHOW WORK)

A: We know that sin(a-b)=sina cosb-cosa sinb

Q: 3) Find sin 0 if sec 0 : 8. and tan 0 < 0.

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Q: Prove the trigonometric identity: sec 0 – cos 0 sin² 0 sec 0 + cos O 1 + cos? 0

A: To prove that  secθ-cosθsecθ+cosθ=sin2θ1+cos2θ

Q: Prove the identity tan+cot 0 = csc sin + sec 0 + cos e

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Q: tan e = 4 and 0 terminates in QIII 3 sin 0 Cos e = Csc e sec e cot 0

A:

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: We need to prove the following condition 1+sinθ1-sinθ = cos2θ

Q: Verify the Identity: tan 0+ cos 1+sin 0 -= sec 0

A: To prove :- tanθ+cosθ1+sinθ=secθ

Q: Prove the identity. tan 0( tan 0 + cot 0) = sec ²e

A: The given identity,      tanθtanθ+cotθ=sec2θ

Q: tan(8) – cot(8) = sec"(4) – csc*(0) 3) sin(8) cos(@)

A:

Q: Find an algebraic formula for cos (tan-1 u + sin¬1 v), then use that formula to 1 compute cos…

A: given function ,  costan-1 u + sin-1 v  ..........................eq.(1) now we have to find an…

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: 4. Prove the identity csc 0 – sin 0 = cot 0 cos 0.

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Q: 1-sin0 sec0-tan 0 Cos e

A:

Q: 3. a)Prove the identity tan20- sin20 = sin²0 tan²0

A: We have to find the following conditions

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

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Q: 9. (6 points) Verify the following identity. sin 0 cot 0 + csc 0 1+ Cos 0

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Q: Prove that following identities: (sin 0 + cosec 0)+(cos 0+sece=7 tan0+cot 0

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Q: Prove the identity. + sin 3 cos x- cosx

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Q: Prove the Identity. cos 0 ( tan 0 + cot 0) = csc 0

A: SOLUTION-

Q: tan 0 = - 3 and cos > 0, find the exact value of sin 0.

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Q: Prove that 2 + sec 0 csc 0 (sin 0 + cos 0)? sec 0 csc 0

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

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Q: Prove. COSO-COS (30) Sin-Sin (30) -tan (20)

A: This question can be solved using the concept of trigonometry

Q: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

A: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

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Q: Establish the identity. sec 0• sin 0 = tan 0

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Q: Prove the identity sin(7 – 0) = sin 0. %3D

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

A: Topic - trigonometry