Question

Evaluate
sin 30° + tan 45º - cosec 60°
sec 30° + cos 60° + cot 45°
​

Answer 1

Given,

$\[ \sin 30^\circ + \tan 45^\circ - \cos ec60^\circ + \sec 30^\circ + \cos 60^\circ + cot45^\circ \]$

Solution,

$\[ = \sin 30^\circ + \tan 45^\circ - \cos ec60^\circ + \sec 30^\circ + \cos 60^\circ + cot45^\circ \]$

Put the values.

$\[ = \frac{1}{2} + 1 - \frac{2}{{\sqrt 3 }} + \frac{2}{{\sqrt 3 }} + \frac{1}{2} + 1\]$

$\[ = \frac{1}{2} + \frac{1}{2} + 2\]$

$\[ = 3\]$

Hence the value is 3.