Question

If theta is an acute angle and sin theta = 3/5 then ,find the value of cos theta.

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Answer 1

Answer:

cos theta = 4/5    

Step-by-step explanation:

sin theta = 3/5

we know sin theta = perpendicular / hypotenuse

Draw a right angle triangle. whose perpendicular is 3 and hypotenuse is 5

from Pythagoras Law

hypotenuse²=  perpendicular² + base²

5² = 3² + base²

25 = 9 + base²

base²= 25-9

base²=16

base = 4

we know cos theta = base / hypotenuse

cos theta = 4/5