Question

sec theta +tan theta =1/2 then sin theta =?

Answer 1

Step-by-step explanation:

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${ sec\theta+tan\theta=\frac{1}{2} }$

$\implies { \frac{1}{cos\theta}+\frac{sin\theta}{cos\theta}=\frac{1}{2} }$

$\implies {\frac{1+sin\theta}{cos\theta}=\frac {1}{2} }$

$\implies { cos \theta=2×(1+sin\theta) }$

$\implies { 1+sin\theta=\frac{cos\theta}{2} }$

$\implies\boxed { sin\theta =\frac{cos\theta }{2}-1 }$

Answer 2

Step-by-step explanation:

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sec theta +tan theta=1/2

1/cos theta+sin theta/cos theta=1/2

1+sin theta/cos theta=1/2

sin theta+1=cos theta/2

sin theta=cos theta/2-1