Question #297902

If the terminal side of angle ∅ is in first quadrant and tan ∅ is 1/√3. Find the values of the other trigonometric functions of ∅.

1
Expert's answer
2022-02-16T08:03:17-0500

Hypotenuse=1+(3)2=2=\sqrt{1+(√3)^2}=2


cotθ=3sinθ=12cot\>\theta=\sqrt{3}\>\>\>\>\>sin\>\theta=\frac{1}{2}

cscθ=2cosθ=32csc\>\theta=2\>\>\>\>\>cos\>\>\theta=\frac{√3}{2}


secθ=23sec\>\theta=\frac{2}{√3}


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