Home
Class 10
MATHS
Find the vlaue of theta if 2cos3theta=1a...

Find the vlaue of `theta` if `2cos3theta=1and0^(@)ltthetalt90^(@)`.

Text Solution

Verified by Experts

`2cos3theta=1`
`rArrcos3theta=(1)/(2)`
`rArr cos3theta=cos60^(@)`
`rArr3theta=60^(@)`
`rArrtheta=20^(@)`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|29 Videos
  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8a|20 Videos
  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

Solve : 2sin^(2)theta=(1)/(2),0^(@)ltthetalt90^(@) .

Find the value of cos theta. cos 2theta. cos 2^(2)theta . cos 2^(3)theta"……." cos 2^(n-1) theta is

If 4sin^(2)theta-1=0 and angle theta is less than 90^(@) , find the value of theta and hence the value of cos^(2)theta+tan^(2)theta .

If 4sin^(2)theta-1=0 and angle theta is less than 90^(@) , find the value of theta and hence the value of cos^(2)theta+tan^(2)theta .

Solve the general vlaue. 2 cos theta + cos 3 theta =0

If 2 cos ^(2) theta + sin theta - 2=0 and 0^(@) le theta le 90 ^(@) find the value of theta.

Find the value of theta if |[1,1,sin 3theta] , [-4,3,cos 2theta] , [7, -7, -2]|=0

If sin theta+ cos theta = sqrt(2) cos theta, (theta ne 90^(@)) then value of tan theta is

Find the value of theta in each of the following: (i) 2sin2theta=sqrt(3) (ii) 2cos3theta=1 (iii) sqrt(3)tan2theta-3=0

Solve cos theta+cos 2theta+cos 3theta=0 .