Question

Find the value of tan30°× sin 60°+ cos60°

Answer 1

tan30° × sin 60° +cos60°

1/√3 × √3/2 + 1/2
= 1/2+1/2
= 1

Answer 2

$\tan(30) = \frac{1}{ \sqrt{3} } \\ \sin(60) = \frac{ \sqrt{3} }{2} \\ \cos(60) = \frac{1}{2}$

Substitute their values and you'll get,

$\frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} = 1$

Therefore, your answer must be 1.

Note: Apply BODMAS while evaluating the value.