Question

Evaluate:

sin 60° + 2 tan 45° - cos-30°

frds solve it​

Answer 1

$\huge\mathfrak{Solution:-}$

We know the values of :

sin60° = √3/2

tan45° = 1

cos30° = √3/2

Thereby evaluating, we get :-

${\implies{\sf{}}}$√3/2 + 2 × 1 - √3/2

${\implies{\sf{}}}$√3/2 + 2 - √3/2

${\implies{\sf{}}}$2

Answer : $\huge{\boxed{\bold{2}}}$

Answer 2

Answer: 2

Step-by-step explanation: cos(-x) = cos x, so cos(-30)=cos(30) = root3/2.

sin(60) = root3/2.

Also 2tan(45) = 2 x 1 = 2.

Therefore, root3/2 + 2 - root3/2 = 2