Question

tan 60° + sin 30° + cos 30°+
sin 60° + cos 45 + cot 30°​

Answer 1

Answer:

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

Step-by-step explanation:

tan 60°+ cot 30°+ sin 30°+ cos 30° + sin 60° + cos 45°----------------------------[1]

Now

tan 60°=cot 30°= √3

sin 30°= 1/2

cos 30°=sin 60°= √3/2

cos 45°= 1/√2

Substitute all these values in [1] and u get the answer

Answer 2

$\frac{6\sqrt{3} + 1 + \sqrt{2}}{2}$

Step-by-step explanation:

We have to evaluate the following expression:

tan 60° + sin 30° + cos 30° + sin 60° + cos 45° + cot 30°

Now, tan 60° = √3, sin 30° = 1/2, cos 30° = (√3)/2, sin 60° = (√3)/2, cos 45° = 1/√2 and cot 30° = √3.

Therefore, tan 60° + sin 30° + cos 30° + sin 60° + cos 45° + cot 30°

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

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

= $\frac{6\sqrt{3} + 1 + \sqrt{2}}{2}$ (Answer)