Question

2cosA = 1 then find the value of cosecA and SinA.​

Answer 1

Answer:

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Answer 2

$\sf\large\underline\pink{Given:-}$

$\sf\ 2cosA=1$

$\sf\large\underline\pink{To \: Find:-}$

$\sf\ cosecA \: and \: sinA$

$\sf\large\underline\pink{Solution:-}$

$\sf\ 2cosA=1(Given)$

✍$\sf\ cosA=\frac{1}{2}$

$\sf\large\underline\pink{We \: know \: that}$,

$\sf\sinA=\sqrt{1-cos^2 A}}$

✍$\sf\ sinA=\sqrt{1-\frac{1}{2}^2}}$

✍$\sf\ sinA=\sqrt{\frac{4-1}{4}}$

✍$\sf\ sinA=\sqrt{\frac{3}{4}}$

✍ $\sf\ sinA=\frac{\sqrt{3}}{2}}$

$\sf\large\underline\pink{Now}$

$\sf\ cosecA=\frac{1}{sinA}$

✍ $\sf\ cosecA=\frac{2}{\sqrt{3}}}$