Question

If sin theta equal to 1 upon under root 2 find the value of cot theta

Answer 1

Answer:

Step-by-step explanation:sin theta=1/√2

cos^2 theta=1-sin^2 theta

Here, cos^2 theta=1-(1/√2)^2

=1-1/2=1/2

cos theta=1/√2

Cot theta=cos theta/sin theta=(1/√2)/(1/√2)

cot theta=1

Answer 2

Answer:

Given that, sin ∅ = 1/√2.

We need to find the value of cot ∅.

Now, we know sin ∅ = Perpendicular/Hypotenuse.

Hence, Perpendicular = 1k and Hypotenuse = √2k.

Now, finding the Base.

We know by Pythagoras Theorem that, Base² + Perpendicular² = Hypotenuse².

Hence, Base² = Hypotenuse ² - Perpendicular²

Base² = (√2k)² - (1k)²

Base² = 2k² - 1k²

Base = √k²

Base = 1k

So, now we know that, cot ∅ = Base/Perpendicular.

Hence, cot ∅ = 1k/√2k = 1/√2