Question

If sin0=3/5 and theta is an acute angle find the value of cos theta and tan theta

Answer 1

Solution :-

Given ,

• sinθ = 3/5

To find ,

• cosθ & tanθ

If sinθ = 3/5 , then opposite side of θ will be 3 and Hypotenuse of the triangle will be 5

So , using Pythagoras theorem

Hypotenuse² = Base² + height²

➜ 5² = 3² + height²

➜ Height² = 25 - 9

➜ Height² = 16

➜ Height = √16

➜ Height = 4

Now , finding cosθ & tanθ

• cosθ = Adjacent/Hypotenuse = 4/5
• tanθ = opposite/adjacent = 3/4

Hence , cosθ = 4/5 & tanθ = 3/4