Question

Find the value of sin75

Answer 1

Answer:

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Answer 2

SolutioN :

Let's Find the value of Sin 75°

We can also Write as,

→ Sin 75° = Sin( 45° + 30° )

★ Now, Let Angle.

• A = 45°
• B = 30°

★ We know Formula

• Sin( A + B ) = Sin A * Cos B + Cos A * Sin B

So,

→ Sin( A + B )

→ Sin( 45° + 30° )

→ Sin 45° * Cos 30° + Cos 45° * Sin 30°

→ 1/√2 * √3/2 + 1/√2 * 1/2.

→ √3 / 2√2 + 1/2√2.

→ √3 + 1 / 2√2.

Therefore, the value of Sin 75° is √3 + 1 / 2√2.