Sec (A+B)= sec A. Sec B.cscA.cscB CSCA . CSCB-sec A- secB

Q: secx (a) esinx (b) e-sinx (c) e* (d) e-*

A: The given differential equation is  1sec xy'+cosx y=2sinx To find the integrating factor of the…

Q: sec (4r) tan (4r) dr sec r tan r dr g. h.

A: the given integral is: ∫sec64xtan24x dx let the given integral be I therefore, I=∫sec64xtan24x dx…

Q: f sec (5x)tan (5x) dx 3 tan 5x + C A. B. C. 13 cos 5x + C 플 sec 5x + C D. csc 5x + C 5

A:

Q: -csc 0 + sec20 = (tane - cote)(sec@csce)

A:

Q: Folve y + cos(x) y = cos(x) %3D

A: Given query is to find th solution of differential equation.

Q: Sece -CSO tan6+ cot B Sece

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

Q: csc (tan 2y-1)dy 5. cos* 2y wil

A: topic - indefinite integral

Q: Cot X=-CSE X dx

A:

Q: cos-1 (cosx)= x       where..............

A: Given, cos-1cos x=x

Q: cot (3x) За co dx csc 3x + 1

A: To evaluate the given integral.∫cot33xcsc3x+1 dx

Q: sec^ 2 x-1 cot( pi/2 - x) * cscx=secx

A:

Q: Differentiate.

A:

Q: cos Z (csc Z - sec 2) = cot Z

A: Our Aim is to prove the identity given below:-cos z (cosec z - sec z)= cot z-1 -(i)

Q: tan = {- y 8는: tan. X ( tano - tan e = tan e y

A: Use the Cartesian to polar coordinates conversion and take help of trigonometry Ratio.

Q: sec x sin x

A:

Q: cos(-t) =______ and sec(-t) =_______ , so the cosine and secant are_______ functions.

A: Use the property of trigonometry cos-t=cos tsec-t=sec t

Q: Verify the identity: csc2 x sec x = sec x + csc x cot x

A: To Verify csc2x sec x=sec x+csc x cot x

Q: cot(e) = 6; sec(0)<0,

A:

Q: sec I dr = %3D tan I

A:

Q: sec x Simplify completely. cscx (A) 1 (B) tan x (C) tan³x (D) cot x (E) cot² x

A: Secx = 1/ cos x   csc x = 1/ sinx

Q: CSc : 1/ sin :: sec :

A: Evaluate csc:1sin::sec:?

Q: tan(r) sec (r) dr

A:

Q: e² tan (e²) b) dr I sec2 (e-) – 7

A:

Q: sec(tan- v)tan(tan-'vkiv 1+v an (tan

A: Perform integration

Q: 1. y= 4+ sec 3x 2. y= 2 tan 3. y= cot(x +)

A:

Q: * sec(x) tan(r) de.

A:

Q: cos C25+) Se sincas+) dt

A:

Q: P3: tan 3x sec 3x dx

A:

Q: sec+2x tan 2x and -dx 11 1 I + 12 tan 2x 16 tan³2x Ⓡ (cor³2x) ( 1+3csc22x 12 Ⓒ/cot²2xcot³21+C 16…

A:

Q: We are trying to prove identities

A: Proof:The given Trigonometric identity is 2 tan(x)/(1+sec(x)) + (2+2sec(x))/tan(x)= 4csc(x)The left…

Q: sec? x 2. csc2 x = sec2 x-1

A:

Q: tan(=2 ») =x+y. 5. tan Determine y'.

A:

Q: sc 2x - cot 2x = 0 1 sec

A: We have csc2x-cot2x=?

Q: (+5)(-3) dx. a. b. sinx cotx secx dx.

A: a. I=∫(x2+5)(x-3)2xdx =∫x32+5x-12(x2-6x+9)dx =∫x72-6x52+9x32+5x32-30x12+45x-12dx…

Q: sece -csc 4. sec e-1

A:

Q: (secx-2)dx cosx cotx cosx cotx B secx - 2 (secx - 2) 5 D) None A.

A:

Q: sec0-1 sin 2 2. 2 sec e

A: Now,           since,half angle formula                                Sin Q2=1-cos Q2

Q: sec² i 6. dt

A:

Q: y - cot xy = cscx,

A:

Q: sec x+ csc x 1+ cot x х

A:

Q: sec2 x 23. sec(2x) = %3D 2 sec2 x

A: Prove the following

Q: cos2 x(sec2 x - 1)

A: we know that secx=1/cosx. and the identity sin^2x+cos^2x=1.

Q: sec ~dx 3 In sec - + tan- +C 3 3 3 A True B False

A:

Q: sec20 csc 20 sec (20) = csc 20- sec2e

A: Solution: The objective is to prove that the given identity

Q: (csc a - sec B) + (sec ß + csc a)( sec ß- csc a) = - 2 sec B( csc a- sec B)

A:

Q: fa cos (6x) cos (3x)dx

A:

Q: sec(x)+csc(x) tan(x)+cot(x)

A: Given sec(x)+csc(x)tan(x)+cot(x)

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.