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