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(sin^3theta-cos^3theta)/(sintheta-costhe...

`(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1` if `theta in (0,pi/2)` (b) `theta in (pi/2,pi)` `theta in (pi,(3pi)/2)` (d) `theta in ((3pi)/2,2pi)`

A

`theta in (0, pi/2)-{pi/4}`

B

`theta in (pi/2, pi)-{(3pi)/(4)}`

C

`theta in (pi, (3pi)/(2))- {(5pi)/(4)}`

D

`theta in (0, pi)- {(pi)/(4), (pi)/(2)}`

Text Solution

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The correct Answer is:
D
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