Question

2 tan 45 + Cos 60 - sin 30​

Answer 1

2 tan 45 +cos 60-sin30

=2 ×1+1/2-1/2
=2

Answer 2

Given:

2 $\tan 45$° + $\cos 60$° - $\sin 30$°

We have to find, the value of 2 $\tan 45$° + $\cos 60$° - $\sin 30$° = ?

Solution:

∴ 2 $\tan 45$° + $\cos 60$° - $\sin 30$°

= 2(1) + $\dfrac{1}{2}$ - $\dfrac{1}{2}$

Using the trigonometric identity:

$\tan 45$° = 1, $\cos 60$° = $\dfrac{1}{2}$  and $\sin 30$°  = $\dfrac{1}{2}$  

= 2 + $\dfrac{1}{2}$ - $\dfrac{1}{2}$

= 2

∴ 2 $\tan 45$° + $\cos 60$° - $\sin 30$° = 2

Thus, the value of 2 $\tan 45$° + $\cos 60$° - $\sin 30$° = 2.