Question

If sin theta is 4/5 find the value of cos theta and tan theta

Answer 1

Step-by-step explanation:

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Answer 2

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If sin theta is 4/5 find the value of cos theta and tan theta.

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• cos$\theta$=$\frac{3}{5}$
• tan$\theta$=$\frac{4}{3}$

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We know that sin$\theta$ = $\frac{Perpendicular}{Hypotenuse}$

Hence in the right angled triangle the perpendicular is 4 units and hypo. is 5 units.

${\blue{\bold{\text{By pythagoras theorem}}}}$

Perp²+Base²=Hypo²

(4)²+base²= (5)²

Base²=(5)²-(4)²

Base²=25-16

Base²=9

Base=$\sqrt{9}$

Base=3 units

In the triangle we get

• Perpendicular = 4
• Base = 3
• Hypotenuse = 5

1) cos$\theta$=$\frac{Base}{Hypotenuse}$

cos$\theta$ = $\frac{3}{5}</p><p><strong>2</strong><strong>)</strong><strong> </strong>tan[tex]\theta$ = $\frac{Perpendicular}{base}$

tan$\theta$ = $\frac{4}{3}$

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