Math, asked by GEETHA118, 9 hours ago

if sec theta+ tan theta= p then find the value of sin theta in terms of'p'​

Answers

Answered by haribabuvitane25
1

Step-by-step explanation:

i hope this is correct

sintheatais equals to 1-p'2/1+p'2

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Answered by YashChamle
0

Answer:

sinx =\frac{p^2-1}{p^2+1}

Step-by-step explanation:

-> secx+tanx=p

-> secx+tanx=\frac{1}{p} [( secx-tanx)(secx+tanx)=sec^2x-tan^2x=(p)(\frac{1}{p})=1]

By adding and subtracting the equation you get,

=>secx=\frac{p^2+1}{2p}  \& tanx=\frac{p^2-1}{2p}

=> cosx=\frac{2p}{p^2+1}

We all know,

=> (cosx)(tanx)=sinx

=> sinx=(\frac{2p}{p^2+1})(\frac{p^2-1}{2p})=\frac{p^2-1}{p^2+1}

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