Question

$cos \dfrac{\pi}{3} + tan \dfrac{\pi}{4}=$​

Answer 1

Answer :-

$\bf{\dfrac{3}{2}}$

Calculation :-

$\sf{cos \bigg(\dfrac{\pi}{3} \bigg)+tan\bigg(\dfrac{\pi}{4}\bigg)}$

$\sf{=cos60^\circ+tan45^\circ}$

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

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

$\sf{=\dfrac{3}{2}}$

Explanation :-

We know,

π = 180°

Using this relation :

→ π/3 = 180°/3

= 60°

→ π/4 = 180°/4

= 45°