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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`
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