How do you find the values of the other five trigonometric functions of the acute angle A with $sin A = \frac{3}{4}$ $sinA=3/4$ ?

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How do you find the values of the other five trigonometric functions of the acute angle A with $sin A = \frac{3}{4}$ $sinA=3/4$ ?

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Answer 1 · 2017-04-08T04:50:25

$csc A = \frac{1}{sin A} = \frac{4}{3}$ $csc A=1/sin A=4/3$
$cos A = \sqrt{1 - {sin}^{2} A} = \sqrt{1 - {(\frac{3}{4})}^{2}} = \frac{\sqrt{7}}{4}$ $cos A=sqrt(1-sin^2 A)=sqrt(1-(3/4)^2)=sqrt7/4$
$sec A = \frac{1}{cos A} = 4 \frac{\sqrt{7}}{7}$ $sec A=1/cos A=4sqrt7/7$
$tan A = \frac{sin A}{cos A} = 3 \frac{\sqrt{7}}{7}$ $tan A=sin A/cos A = 3sqrt7/7$
$cot A = \frac{1}{tan A} = \frac{\sqrt{7}}{3}$ $cot A=1/tan A=sqrt7/3$

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How do you find the values of the other five trigonometric functions of the acute angle A with $sin A = \frac{3}{4}$ $sinA=3/4$ ?

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How do you find the values of the other five trigonometric functions of the acute angle A with $sin A = \frac{3}{4}$ $sinA=3/4$ ?