Question 6 Suppose m and n are constants and 1 m-n 01 I 2 N DI 1 sin(mx) cos(nx) dx I -sin(m-n)x+ m+n 1 -cos(m-n)x- 721 + 71 1 -cos(m-n)x- 21 + 71 1 -cos(m-n)x+ Evaluate mn. sin m+n + n)x] + C -cos(m+n)x] + C s(m+n)x]+C cos(m+n)x] + C

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

A:

Q: Simpliyn² + n to got

A:

Q: C. If sin A+ sin2 A = 1 and a cos12A +b cos® A+ c cos A - 1 = 0 then b + - + b =? %3D %3D

A: Topic = Trigonometry

Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

A:

Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: TT -1 Cos 2 sin 2

A:

Q: XV3X-4 V3x-4 +C tan 3x-4 +C sin' 2 tan 3x-4 +C sin 3x-4+ C None V3x=4 tan +C 2

A:

Q: Evaluate sinx cofx dx Select one: sin4x +C 4 sin2x cos2x +C 8 0(x-sinx cosx cos2x )+c O None

A: Correct Option is Last  i.e. None

Q: Im cos 2x + sin 2x} %3D Cos 4i - 4

A: To find: The imaginary part of -x4icos 2x+x4sin 2x. Concept used: If the complex number is written…

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

A:

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: If 4 sin ¹xcos ¹x 4 COS X + 5 7 Find sin² 2x 5 + 1 12 cos² 2x 7 = ?

A:

Q: If x + = 2 cose X then show that 1 = 2 cos 20 X* + X

A:

Q: If sin 5x + 22 = cos 4x + 14 find x

A: Use the concept of  maximum minimum values od Sine and cosine functions.

Q: The simplified form of cos ( - 12a) + sin (* + - 12=) 6 O v2 cos 12r + 2 sin 12x O V3 cos 12a + v2…

A:

Q: If cos(x + 7) + sin(2- со 6 the number A ㅠ 3 = A, then

A:

Q: 4 cos sin 0+3cos0=0

A: Given query is to find the solution of the expression.

Q: 5. Simplify the expression (a) -1 (b) 1 (c) sin²x (d) - cos² (e) None of these cos²x+ sin x sec² x…

A: