If 2 sin^2 theta - cos^2 theta = 2, then find the value of theta.
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90 degree
Step-by-step explanation:
2sin^2theta -cos^2theta =2
2sin^2theta - (1-sin^2theta)=2 (since, sin^2theta +cos^2theta=1)
2sin^2theta-1+sin^2theta =2
3sin^2theta -1 =2
3sin^2theta =2+1
sin^2theta = 3/3
sin^2theta =1
(squaring both side)
sin theta =1
theta = 90 degree (sin 90 =1)
90 degree ans
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