Home
Class 11
MATHS
If theta lies in the first quadrant and ...

If `theta` lies in the first quadrant and `costheta=(8)/(17)`, then find the value of `cos(30^(@)+theta)+cos(45^(@)-theta)+cos(120^(@)-theta)`.

Text Solution

Verified by Experts

The correct Answer is:
`(23)/(17)((sqrt(3)-1)/(2)+(1)/(sqrt(2)))`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|30 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (FILLERS)|17 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|19 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

The value of sin(45^(@)+theta)-cos(45^(@)-theta) is

The value of cos (270^(@) + theta) cos ( 90^(@) -theta) -sin (270^(@) - theta) cos theta is

If costheta = 5/3 then what is the value of cos(theta/2) ?

If tan^(4)theta +tan^(2) theta = 1 , then the value of cos^(4)theta +cos^(2)theta is-

Find the minimum value of sec^2 theta + cos^2 theta + 2

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

Prove that, sin(40^(@)+theta)cos(10^(@)+theta)-cos(40^(@)+theta)sin(10^(@)+theta)=(1)/(2)

Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4

If sin theta_1 + sintheta_2 + sin theta_3=3, then find the value of cos theta_1 + cos theta_2 + cos theta_3.

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .