1.

The value of `(1+cottheta-co s ectheta)(1+tantheta+sectheta)` is equal toA. 1B. 2C. 0D. `-1`

Answer» Correct Answer - b
Shotcut method
`=(1+cot theta-co s ectheta)(1+tan theta+sectheta)`
Put, `theta=45^(@)`
`=(1+cot45^(@)-co s ec45^(@))(1+tan45^(@)+sec45^(@))`
`=(1+1-sqrt(2))(1+1+sqrt(2))`
`=(2-sqrt(2))(2+sqrt(2))`
`=[2^(2)-(sqrt(@))^(2))[(a-b)(a+b)=a^(2)`
`-b^(2))] =4-2=2`


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