10. Find the solution of the equation [tan(x)+v3][cos(x)+7] = 0 in the interval [0, 7). 27 57 iii) iv) v) not listed i iv O v

Q: b) 6(sin x)² + cos 2x + 1 = 0 [0,2π] I

A: Solution6 sin2x+cos 2x+1=0we know cos 2 x= 1-2 sin2xput this value in the given equation,6 sin2 x+…

Q: 7. f cos xdx

A: The given integral is Cos4x

Q: Prove using the IVT cosx = cos-1x has a solution in (0, 1).

A: cos x = x   rearrange to x - cos x = 0

Q: Which function has the same graph as y= 4 cos y = 4 sin x+7 ) y = 4 sin 3 y = 4 sin X- y = 4 sin

A:

Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

A:

Q: 6. On [0, 27) solve equation 2 cos x cos 2x - 2 sin x sin 2x = 1

A:

Q: . Let z = 1+ cos 0 + i sin 0, where - < 0 <0. (a) Show that |z| = 2 cos -1 and arg z = (b) Hence…

A:

Q: 18. Solve 2 tan r-1 0 over [0, 27).

A: Unlike the sine and cosine functions, the tangent function is π periodic. That is, if the point (x,…

Q: 2x 2)/3x* 2) [3x* - 9x² +1 V9-x² dx .2 3) [ sin xcosx dx x cos.x 4) S sin² xcos 4) sin x cos x dx

A:

Q: 1. If Z = sin r+ 2 I+1 6. - ", find dZ/dr.

A: differentiate with respect to x

Q: a) 2(sin x)² - 1 = 0 [0,2π]

A: a) 2(sin⁡x)2−1=0[0,2π]

Q: -1 -1 18. Show that cos (-x) =T- cos x

A: We have to prove that cos-1(-x) = π - cos-1x

Q: 1) y = cos (48 + 11)+1 1 2 6

A: