Evaluation: sin50 degrees (1 + root 3 times tan10 degrees) Please write down the process of simplification

Sin50 degrees (1 + radical 3 times tan10 degrees)
=sin50°(1+tan60°tan10°)
=sin50°×(cos60°con10°+sin60°sin10°)/cos60°cos10°
=sin50°×cos(60°-10°)/cos60°cos10°
=sin100°/2cos60°cos10°
=cos10°/cos10°
=1
Here tan60 ° = √ 3, cos60 ° = 1 / 2, sin100 ° = cos10 °

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