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(tantheta+2)(2 tantheta+1)= ?...

`(tantheta+2)(2 tantheta+1)= ?`

A

`5 tantheta+ sectheta`

B

`5 tantheta+ 2sec^(2)theta`

C

`5 tan^(2)theta+ sec^(2)theta`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
False,
LHS = `(tantheta+2)(2 tantheta+1)`
`=2tan^(2)theta+4 tantheta+tantheta+2` `[therefore sec^(2)theta-tan^(2)theta=1]`
`=2sec^(2)theta + 5 tantheta=RHS`
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  10. Prove that (sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec...

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  12. If tan A=3/4, then sinAcosA =.

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  15. Show that 1+cot^2alpha/(1+cosecalpha)=cosec alpha

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  16. tantheta+tan(9 0^(@)-theta)=secthetaxxsec(9 0^(@)-theta)

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