Question

taking theta =30 degree verify sin 2 theta = 2 sin theta cos theta​

Answer 1

Given :-

• The value of Φ = 30°

To Prove :-

Sin2Φ = 2sinΦcosΦ

Solution :-

Here, We have to take the value of Φ = 30°

Therefore,

Sin 2 * 30° = 2sin30°cos30°

√3/2 = 2 * 1/2 * √3/2

√3/2 = 1 * √3/2

√3/2 = √3/2

LHS = RHS

Some Trigonometric ratios :-

Sin 0° = 0

Sin 30° = 1/2

Sin 45° = 1/√2

Sin 60° = √3/2

Sin 90° = 1

Cos0° = 1

Cos 30° = √3/2

Cos 45° = 1/√2

Cos 60° = 1/2

Cos 90° = 1

tan 0° = 0

tan 30° = 1/√3

tan 45° = 1

tan 60° = √3

tan 90° = Not defined