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The value of theta , which satisfies ...

The value of `theta` , which satisfies the equation `tan^(2)theta+3=3sectheta,0^(@)lethetalt90^(@)` is

A

`45^(@)` व `0^(@)`

B

`60^(@)` व `0^(@)`

C

`15^(@)` व `0^(@)`

D

`30^(@)` व `0^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`tan^(2) theta+3= 3 sec theta`
`rArr sec^(2) theta-1+3=3 sec theta" " ( :. sec^(2)- tan ^(2) theta=1)`
`rArr sec^(2) theta-3 sec theta+2=0`
`rArr sec^(2)-2 sec theta-sec theta+2=0`
`rArr sec (sec theta-2)-1(sec theta-2)=0`
`rArr sec theta=1 and 2`
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