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

`(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1` if

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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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
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  6. The number of all possible values of theta, where 0 lt theta lt pi, f...

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  7. For 0 lt theta lt pi/2, the solution (s) of sum(m=1)^(6) cosec (the...

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  10. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

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  13. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

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  19. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

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