Home
Class 12
MATHS
If a+btantheta=secthetaand b-atantheta=3...

If `a+btantheta=secthetaand b-atantheta=3sectheta`, then findthe value of `a^2+b^2`.

Text Solution

Verified by Experts

The correct Answer is:
10
The given equations can be rewritten as
`acostheta+bsintheta=1" and " -asintheta +bcostheta=3`
Squaring and adding, we have `a^2+b^2=10`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.3|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.4|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.1|8 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

If a+btantheta=secthetaandb-atantheta=2sectheta, then: a^2+b^2=

If 6 + 8tantheta = sectheta and 8-6tantheta = k sectheta , then what is the value of k^(2) ?

If sectheta+tantheta=3 , then find the value of sectheta .

If a/b=2/3 then find the values of b/a

If sectheta+tantheta=2 , then find the value of sintheta .

If a=sectheta-tantheta and b= sectheta+tantheta , then

If sectheta+tantheta=2 , then the value of sectheta is

If a=1/2 and b=2 ,findthe value of a/b .

If atantheta =b ,then acos 2theta+b sin2 theta=

If sectheta=A, cosec theta=B , then