Question

if 5 sin theta is equal to 3 then cos theta is equal to

Answer 1

5sin=3
sin=3/5
by Pythagoras theorem
${5}^{2} - {3}^{2} = 4$
cos =4/5

Answer 2

$Cos \theta = \frac{4}{5}$

Step-by-step explanation:

Given : $5 sin \theta = 3$

To Find : $Cos \theta$

Solution :

$Sin \theta = \frac{3}{5}$

$Sin \theta = \frac{Perpendicular}{Hypotenuse}$

On comparing

Perpendicular = 3

Hypotenuse = 5

$Hypotenuse^2 = Base^2 +Perpendicular^2$

$5^2 = Base^2 + 3^2$

$\sqrt{5^2-3^2}=base$

4 m = Base

$Cos \theta = \frac{Base}{Hypotenuse}$

$Cos \theta = \frac{4}{5}$

#Learn more:

If sin theta is equal to 3 by 5 and Cos theta is equal to 4 by 5 find the value of sin square theta + cos square theta​

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