Home
Class 12
MATHS
If the expression cos(x - 3pi/2) + sin(3...

If the expression `cos(x - 3pi/2) + sin(3pi/2+x) + sin(32pi+x) - 18 cos(19pi-x)+cos(56pi+x) - 9sin(x+17pi)` is expressed in the form of `a sinx + bcos x`, then a+b is equal to

A

17

B

27

C

13

D

23

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise LEVEL -2|49 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

Value of expression sin(pi/9)+sin((2pi)/9)+sin((3pi)/9)+...+sin((17pi)/9)=

int_(0)^(pi//2) ( cos x - sin x )/( 2 + sin x cos x ) dx is equal to

int_(-pi/2)^(pi/2) sin x*cos^2 xdx

The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x))/(cos(x-(pi)/(2)).tan((3pi)/(2)+x)) simplifies to

The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

The equation 2 sin^(2) (pi/2 cos^(2) x)=1-cos (pi sin 2x) is safisfied by

The value of cos(pi+x)sin(pi-x) secx.coses x is

If 2cos^2(pi+x)+3 sin(pi+x) vanishes then the values of x lying in the interval from 0 to 2pi are

Prove that int_0^(pi/2) \ sin^2 x / (1+sin x cos x) \ dx = pi/(3 sqrt(3)