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The values of sin theta(1), cos^(2)theta...

The values of `sin theta_(1), cos^(2)theta_(2)` and `tan theta_(3)` are given as 3, `-(1)/(3)` and `(1)/(3)` (not in order) for some angles `theta_(1),theta_(2)` and `theta_(3)`. Select correct alternative (s)

A

The value of `tan theta_(3)` could be `-0.5`

B

The value of `sintheta_(1)` can not be `3`.

C

The value of `cos^(2)theta_(2)` can't be `-0.5`

D

The value of `cos^(2)theta_(2)` could be `3`.

Text Solution

Verified by Experts

The correct Answer is:
D
`-1 le sin theta_(1) le 1, 0 le cos^(2) theta_(2) le 1, -oo lt tan theta_(3) lt oo`
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