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

Q: (1) tanx=cot"I

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: secx tan.x 5) 1+ sec x

A: Use the method for substitution.

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

A:

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: Lan: prove (:) - - 4. sin x tan =1- cos x

A:

Q: -1 (d) sin(sin¬! 0.8) (e) tan-'(tan ) (f) sin¬'(sin 2)

A: Part (d),Given,Sin(sin-10.8)

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: 1 Evaluate: sin'x cos x

A:

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

A: Formula used:

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

A:

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

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

Q: 3 tan (x) sec (x) dx T) sec (x)dr

A:

Q: sin-'x - cos-1x = " Find the value of x

A: Given that sin-1 (x)-cos-1 (x)=π6, Our Aim is to find the value of x=?

Q: Which of the expressions below are equivalent? Which are not? Explain. i. sin '(x) ii. csc(x) iii.…

A: It is known that sin-1x can also be written as arcsinx.

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

A:

Q: 1+tanx b) 1-tanx = tan (x + ²)

A:

Q: 8(1 + tan?(a)) da

A: Take out 8 from the integral.

Q: 4. Prove that tan x – cos x = sec x – cosʻ x - x- cos cos x – 1. :

A:

Q: sin (tan' 8, zan-)= 0.35 O -0.35 O 0.40 O -0.40 O O O

A: Inverse Trigonometric ratios are just the opposite of Trigonometric ratios as Trigonometric ratios…