IF sintheta=-1/3 and theta does not lie ...

IF `sintheta=-1/3` and `theta` does not lie in the `3^(rd)` quadrant, find the value of `cos theta` and `cot theta`

Text Solution

Verified by Experts

The correct Answer is:

`(2sqrt2)/3`

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IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find the value of sec theta ,and cot theta .

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Knowledge Check

If tan theta = -4//3 and theta is not in the fourth quadrant , then the value of 5 sin theta + 10 cos theta + 9 sec theta + 16 " cosec" theta + 4 cot theta =

A

0

B

1

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`-1`

D

2

If sin theta = k , 0 lt k lt 1 and ' theta ' does not lie in the first quadrant , then tan theta =

A

`(-k)/(sqrt(1-k^(2)))`

B

`sqrt(1-k^(2))`

C

`(-sqrt(1-k^(2)))/(k)`

D

`(1)/(sqrt(1+k^(2)))`

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