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in Trigonometry by (79.1k points)
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यदि `theta` धनात्मक न्यून कोण है और `7cos^(2)theta+3sin^(2)theta=4` हो, तो `theta` का मान क्या है ?
A. `60^(@)`
B. `30^(@)`
C. `45^(@)`
D. `90^(@)`

1 Answer

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Best answer
Correct Answer - a
`7cos^(2)theta+3sin^(2)theta=4`
`7cos^(2)theta+3(1-cos^(2)theta)-4=0`
`7cos^(2)theta-3cos^(2)theta+3-4=0`
`4cos^(2)theta=1`
`cos^(2)theta=(1)/(4)`
`costheta=(1)/(2)=cos60^(@)`
`theta=60^(@)`

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