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For real values of theta, which of the f...

For real values of `theta,` which of the following is/are always positive? `"cos"(costheta)` (b) `cos(sintheta)` `sin(costheta)` (d) `sin(sintheta)`

A

`cos(costheta)`

B

`cos(sintheta)`

C

`sin(costheta)`

D

`sin(sintheta)`

Text Solution

Verified by Experts

`costheta,sintheta in[-1, 1]` or values lies in 1st or 4th quadrant for which `cos(costheta)" and " cos(sintheta)` are always greater then0. `sin(costheta)lt0," when " costheta in [-1,0)" and "sin(sinthetagt0"only when " sin theta in (0,1]`
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CENGAGE-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
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