Evaluate: tan(4x +3)dx A 4 A -In |cos (4x + 3)|+c B -In |sin(4x + 3)|+C 1 (c) -In |csc (4x+3)|+C D -In |sec (4x+ 3)|+C

Q: Show that Sinx+sin3x+sin5x/cosx+cos3x+cos5x=tan3x For all x for which tan 3x is dedined. Does this…

A: given that                      sinx+sin3x+sin5xcosx+cos3x+cox5x=tan3x and we have to proof…

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: tan( 2 tan''( x/ 13)) = Select one: O 2x ( 169 - x² )ª./( 2x² - 169 ) O 26 x/( 169 - x* ) O 2x ( 169…

A: Given tan(2tan-1(x13)We know that 2tan-1(x)=tan-1(2x1-x2)and here x=x13⇒tan(tan-1(2x131-(x13)2)

Q: fOo)=Sinx-41 Cos x 1X-1 cos X (x)

A:

Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: If the root of C.E. are (-2, -2, 0, ±2i) then yH = (a) A + Be-2x + Be-2* + Dcos2x + Esin2x (b) A +…

A: We have to find the following

Q: sin( 2 tan-1 (x/ 12)) = Select one:

A: Can solve the given function by using double angle formula

Q: perform addition and use fundamental identites to simply sin(x)/1 + cos (x) +1 cos (x)/sin(x)

A:

Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1) Use substitution method to evaluate ( sec?/x+3 Vx+3

A:

Q: Evaluate (cos15+isin15)^3

A: To Evaluate (cos15+isin15)^3

Q: Find all zeros of the function. (1-cosz)( z^2+1)(z^2+1) Give the order of each zero.

A:

Q: f(x)=2cos^2 x-1 , 1-2sin^2 x , cos^2 x-sin^2 x and cos2x Make a comparison of the four expressions

A:

Q: Factor  Cos^4 x + 2 cos^2x + 1

A:

Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.

Q: dx J x²–18x+97 O fIn (x² – 18x + 97) + C In (x² – 18x + 97) + C 0sin-l (부) + C х-9 O tan-' () + C…

A:

Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)

Q: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

A: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

Q: sin(2x) dx cos(2x)+5 2x dx V3x +1 4 sec2(2x) dx ! 3(1-tan 2x)

A:

Q: /is [sec2(x) – csc²(x)]dx Evaluate:

A:

Q: Show that cos(arcsinx) Vi - x², for x| s lin two different ways.

A: Show that cosarcsin(x)=1-x2, for x≤1