Question

Find the remaining 5 trig functions.

Answer 1

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Answer 2

`\\ \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))`