Home
Class 10
MATHS
If sin(theta+24^(@))=costhetaandtheta+24...

If `sin(theta+24^(@))=costhetaandtheta+24^(@)` is an acute angle , then find the value of `theta` .

Text Solution

Verified by Experts

Given that , `sin(theta+24^(@))=costheta`
`rArrsin(theta+24^(@))=sin(90^(@)-theta)rArrtheta^(@)+24^(@)=90^(@)-theta`
`2theta=66^(@)rArrtheta=33^(@)`
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

If tan2theta=cot(theta+6^@) , where 2theta and theta+6^@ are acute angles, find the value of theta .

If sin5theta=cos4theta, whre 5thetaa n d4theta are acute angles, find the value of theta .

If sintheta=cos(theta-45^@) , where theta and theta-45^@ are acute angles, find the degree measure of theta .

If 2sin^(2)theta-cos^(2)theta=2 , then find the value of theta .

If cos2theta=sin4theta , where 2theta and 4theta are acute angles, find the value of theta .

If sin3theta=cos(theta-6^0), where (3theta)a n d(theta-6^0) are both acute angles, then the value of theta is (a) 18^0 (b) 24^0 (c) 36^0 (d) 30^0

If sin3theta=cos(theta-6^0), where (3theta)a n d(theta-6^0) are both acute angles, then the value of theta is (a) 18^0 (b) 24^0 (c) 36^0 (d) 30^0

If 2sin^2theta-cos^2theta=2, find the value of theta.

If theta is an acute angle and tantheta+cottheta=2, find the value of tan^7theta+cot^7theta .

If sin theta = 3//5, find the values of cosine theta