Question

Find the value of: sin 75°​

Answer 1

Answer:

hope this will help you

Answer 2

Answer:-

Sin 75° = (√3 + 1)/2√2

Solution:

We have to find the value of Sin 75°. Let us some Trigonometric compound ratios before solving this problem.

Sin (A + B) = SinA.CosB+ CosA.SinB

Sin (A - B) = SinA.CosB - CosA.SinB

Sin 75° can be written as Sin(45° + 30°). We will solve the above expression with the help of trigonometric compound ratios.

Sin 75°

0r, Sin(45° + 30°)

0r, Sin45°.Cos30° + Cos45°.Sin30°

0r, (1/√2. √3/2) + ( 1/√2 + 1/2)

0r, {(√3)/2√2 + (2+√2)/2}

0r, (√3 + 1)/2√2

Therefore, the required value of Sin 75° is (√3 + 1)/2√2

Therefore, the required value of Sin 75° is (√3 + 1)/2√2