Question

If sin theta is equal to 1/3 find the value of (2 cot square theta + 2)

Answer 1

Answer:

18

Step-by-step explanation:

Given:-

sinθ=1/3

To find : 2cot²θ +2

sinθ=1/3

p/h=1x/3x

p=1x

h=3x

By Pythagoras theorem :-

h²=p²+b²

(3x)²=(1x)² + b²

9x²=x²+b²

9x²-x²=b²

8x²=b²

√8x²=b

2✓2 x=b

cotθ = b/p

cot θ = 2✓2 x / 1x

cotθ = 2✓2

2cot²θ +2 :-

2(2✓2)²+2

2(8)+2

16+2

18.