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Find the remaining 5 trig functions.

Find the remaining 5 trig functions.-example-1

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Find the remaining 5 trig functions.-example-1
User Prgmtc
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\\ \tt\Rrightarrow sin\Theta=(√(3))/(2)


\\ \tt\Rrightarrow cosec\Theta=(2)/(√(3))

Now


\\ \tt\Rrightarrow cos\Theta=√(1-sin^2\Theta)= \sqrt{1-\left((√(3))/(2)\right)^2}=\sqrt{1-(3)/(4)}=\sqrt{(4-3)/(4)}=\sqrt{(1)/(4)}=(1)/(2)


\\ \tt\Rrightarrow sec\Theta=2

Now


\\ \tt\Rrightarrow tan\Theta=(sin\Theta)/(cos\Theta)


\\ \tt\Rrightarrow tan\Theta=((√(3))/(2))/((1)/(2))=√(3)


\\ \tt\Rrightarrow cot\Theta=(1)/(√(3))

User Daein Park
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