1.

यदि `sintheta+co s ectheta=2` है तो `sin^(9)theta+co s ec^(9)theta` का मान है?A. 3B. 2C. 4D. 1

Answer» Correct Answer - b
Shotcut method
`sin theta+co s ectheta=2`
Put, `theta=90^(@)`
`1+1=2` (matched)
So, `theta=90^(@)`
`rArr sin^(2)theta=co s ec^(2)theta`
`rArr sin^(2)theta+co s ec^(2)theta`
`rArrsinA^(@)90^(@)+co s ec^(2)90^(@)`
`rArr1^(@)+ 1 ^(@)`
`rAr2`


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