Question

Given that sin theta a/b then cos theta equal to *

Answer 1

Solution

Given :-

• Sin θ = a/b

Find :-

• Value of Cos θ

Explanation,

Using Formula

★ Sin θ = ( Perpendicular)/(Hypotenuse)

★ Cos θ = Base / Hypotenuse

Here, Right ∆ ABC,

• Perpendicular = AB = a
• Hypotenuse = AC = b

Using Phythagour's Thereon

★ ( Hypotenuse)² = (Perpendicular)² + (Base)²

So,

==> Base² = ( Hypotenuse)² - (Perpendicular)²

Keep Above Values

==> Base² = a² - b²

==> Base = √(a²-b²)

So, Now Calculate Value of Cos θ

==> Cos θ = Base / Hypotenuse

==> Cos θ = BC/AC

==> Cos θ = √(a²-b²)/b

Hence

• Value of Cos θ will be = √(a²-b²)/b

_________________

Answer 2

Answer:

answer :- cosθ=√(b²-a²)/b