Please solve a question on hyperbolic functions.

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Trigonometry Q&A

Find answers to questions asked by students like you.

Q: prove cos^4x-sin^4x=xos2x

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Prove that 1- cos 2x = tan x sin 2x. %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Prove that: tan-1z =D2 In

A: Click to see the answer

Q: Prove Cos (3x)- cos (7x)/sin (3x+sin (7x) =tan (2x)

A: To Prove: Cos3x-Cos7xSin3x+Sin7x=tan2x Formulae to be used:…

Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x (1) ⇒siny=x…

Q: Prove that sin 5x + sin 3x/4 sin x cos^3 x - 4 sin^3 x cos x = 2 cos x

A: Given: sin5x+sin3x4sinxcos3x-4sin3xcosx

Q: Show that 4 sin x cos 2x + 3 = 8 cos %3D x.

A: We will use the formula of cos 2x and other formulas of trigonometry to prove left hand side is…

Q: Evaluate. de (sin(5x – 1)] cos(5æ – 1) 5 - sin(5æ – 1) 5 · cos(5æ – 1) • 5· cos(x)

A: Click to see the answer

Q: 7. Prove that: ++) + sin; + e) = v3cose (3) (a) COS

A: Click to see the answer

*question_answer*

Q: Prove the identity. sin 2x cotx %3D 1- cos 2x

A: Click to see the answer

*question_answer*

Q: 1. If z = sin2+In^, find the value of x- +y X

A: Click to see the answer

*question_answer*

Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x

A: Click to see the answer

*question_answer*

Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x |

A: Click to see the answer

*question_answer*

Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x

A: Click to see the answer

*question_answer*

Q: Prove the identity. sin(3x) cos(3x) + sin(9x)_ cos(9x) tan(6x)

A: sin3x+sin9xcos3x+cos9x=tan6x

*question_answer*

Q: Prove that 1-x 1+x cos'x = 2 sin 1 -1 Cos X 2cos COS 2 2

A: Click to see the answer

*question_answer*

Q: 1 Prove that sin x tan x = cos x. cosx

A: Click to see the answer

*question_answer*

Q: 11. Prove that cos(sin^-1x)=sqrt(1-x^2) for -1<=x<=1.

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

*question_answer*

Q: Prove that (1 cos 2x) tan x 1 + cos 2x)

A: given :

*question_answer*

Q: Prove 3n - T, 2 sin? x – sinx cosx – 2 cos? x=0 in has five root's Hint. Intermediate value theorem

A: Corollary of Intermediate value theorem :- If a continuous function has values of opposite sign…

*question_answer*

Q: Prove (Start either from the LI 1- sin x 2. cosx COSx 1+ sin x

A: To prove : 1-sinxcosx=cosx1+sinx

*question_answer*

Q: 3) Prove that b) tan- (*)} = sechx

A: Evaluate the derivative of the given function as follows. ddxtan-1ex=11+ex2ddxex…

*question_answer*

Q: Apply Maclaurln's Serles to Show (-1)*-1,2=-2) 2(n – 1)1 cos X=

A: Click to see the answer

*question_answer*

Q: Prove thatddx[cos x] = −sin x.

A: Click to see the answer

*question_answer*

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

A: Click to see the answer

*question_answer*

Q: Express as a sum.(sin ax)(cos bx)

A: Given : (sin ax)(cos bx)

*question_answer*

Q: 3. Show that tan z does not assume the value ±i. Does this contradict Picard’s theorem?

A: Use the definition of Picard theorems.

*question_answer*

Q: Compute sin(sin( 3337 7 * ). -67 -57 7 -4T 7 -37 7 -27 O O O C

A: Computing the value

*question_answer*

Q: solve for allvalues of x in the interval 0 ≤x≤2π: 2-2sin^2 x+3 cosx=-1

A: Click to see the answer

*question_answer*

Q: Prove that 1-x ', V 2 1+x cos'x = 2 sin 2cos 2 COS 1 -1

A: Click to see the answer

*question_answer*

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

A: Click to see the answer

*question_answer*

Q: Prove: sin (2 cosx) = 2x1-x

A: Click to see the answer

*question_answer*

Q: Verify that 2tan (x/2)= (sin2x+1-cos2)/(sin x(1+cos x)

A: Consider the given condition that,2tan (x/2) = (sin2x+1–cos2x)/(sin x(1+cos x)) … (1)Consider the…

*question_answer*

Q: Prove that 1+x 1-x 2cos -1 cos'x=2 sin V 2 Cos X

A: From the given problem: cos-1x=2sin-11-x2=2cos-11+x2 We know that: The trigonometric identities:…

*question_answer*

Q: 21 Prove the identity.cos x (1 ²x) 2 2. - sin sec X,

A: Consider the given identity cos2x1-sec2x=-sin2x.

*question_answer*

Q: Find tan o if sin 0=2/3 and 0 terminates in q1

A: Click to see the answer

*question_answer*

Q: Prove: sin (2 cosx)= 2x1–x²

A: Click to see the answer

*question_answer*

Q: find maclurin formula in the fourth degree for f(x)=tanx

A: Click to see the answer

*question_answer*

Q: Prove the identity: 4 sin (3x) cos (4x) = 2 sin (7x) - 2 sin (x)

A: Click to see the answer

*question_answer*

Q: Prove that sin -1 x + cos -1 x = pie /2

A: We have to prove:

*question_answer*

Q: (6) Given that In= tan" x dx, show that, for n 2 2. %3D In- In-2 = %3D n- 1

A: I think given question is slightly wrong. According to me the required proof should be…

*question_answer*

Q: Prove that : 2х 77? sin' 1+x dx 1+x 72 1.

A: Click to see the answer

*question_answer*

Q: Prove using the IVT. tan-1x = cos-1x has a solution.

A: Given : tan-1 x = cos-1 xSolve : tan-1 x = cos-1 x…

*question_answer*

Q: Show that | cos x - 1 | ≤ | x | for all x-values.

A: Click to see the answer

*question_answer*

Q: Prove the identity. sin(3x) + sin(9x)_ cos(3x) + cos(9x) Use the Sum-to-Product Formulas and then…

A: Using the sum to product formula we get: sin(3x)+sin(9x)cos(3x)+cos(9x)=2sin6xcos3x2cos(6x)cos(3x)

*question_answer*

Q: 1 -.Prove that :sec q+ tan q = 2x or, 4x 1 If sec q = x+ 2x

A: Click to see the answer

*question_answer*

Q: Find all primary solutions of sin(4x)cos(x) - cos(4x)sin(x)=1

A: Click to see the answer

*question_answer*

Q: Prove that the inequality | cos(x)| ≥ 1 − sin2 (x)

A: Click to see the answer

*question_answer*

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

A: Click to see the answer

*question_answer*

Q: Prove that sin x+ cos -1 -1

A: Click to see the answer