Home
Class 11
MATHS
Find the general value of theta from the...

Find the general value of `theta` from the equation `sintheta+costheta=sqrt(2)cosA.`

Text Solution

Verified by Experts

`sintheta+costheta=sqrt(2)cosA`
Divide both sides by `sqrt(1^(2)+1^(2))=sqrt(2)`
`=1/sqrt(2)sintheta+1/sqrt(2)costheta=cosA`
`rArr sinpi/4 sintheta+cospi/4costheta=cosA`
`rArr cos(theta-pi/4)=cosA`
`rArr theta-pi/4=2npi+-A`
`rArr theta=2npi+-A+pi/4` Ans.
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3A|11 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3B|22 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Find the general value of theta from the equaion sqrt(3)sintheta+costheta=1

Find the general value of theta from the equation costheta+cos2theta + cos3theta=0 .

Find the general values of theta from the following equations: i) sintheta=-sqrt(3)/(2) ii) sectheta=-sqrt(2) iii) cottheta=-1/sqrt(3) , iv) "cosec"theta=-2

Find the geneal values of theta from the following equations: i) sintheta=sqrt(3)/2 , ii) costheta=1/sqrt(2) , iii) tantheta=sqrt(3) , iv) sectheta=2/sqrt(3) , v) cottheta=1/sqrt(3) , vi) "cosec"theta=sqrt(2)

The general value of theta in the equation 2sqrt(3)costheta=tantheta is

Find the most general value of theta satisfyingn the equation tantheta=-1 and costheta=(1 )/(sqrt(2)) .

What are the most general values of theta which satisfy the equations sintheta = 1/sqrt2