Prove that: <(tan'e) + Je Je? +1 2e 2 tan e e² +1

Q: Evaluate: cos [sin cos[tan' +4 sin sec (" )

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Q: sec Asin A = sin' A %3D tan A+cot A

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Q: sin(x-y) sin(x+y) tan x-tan y tan x+tan y ||

A: The given statement is: sin(x-y)sin(x+y)=tan x-tan ytan x+tan y

Q: If cos x = sin 2x cos 2x tan 2x = 4 5 csc x<0, then " ;

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Q: 1 Evaluate: sin'x cos x

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Q: -1 +tan (x), then

A: Trigonometry: y=cot-1(1x2)+tan-1(x2)y=tan-1(x2)+tan-1(x2)y=2tan-1(x2)

Q: By using u = tan 0, evaluate tan 0 sec*e de.

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Q: given that sin(x-A)=2cos(x+A) Show that tan x= 2tanA/1+2tanA

A: Formula used:

Q: Prove A. Sin(20) = It Cot"@) 200+(0)

A: We know that cot x = cos x / sin x  And sin ( 2x ) = 2 sin x cos x

Q: tan(x²) D, secx

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Q: sin' t – cos' t Prove tan?t – 1 cos? t

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Q: 8. Prove that tan? 0 + cos? 0 + sin² 0 = sec² 0. %3D

A: Explanation and solutions is given below....

Q: If cos x = sin 2x cos 2x tan 2x 4 csc x < 0, then ;

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Q: FIX) = sin(x+ cos x) -0.5=0 Find F(X), F(x)

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Q: Prove tan x + cos x = sin x (sec x + cot x).

A: We have to prove the identity: tan x+cos x=sin x sec x+cot x We know the relation between…