trigonometry - Evaluate the following \frac{\sin 30\degree + \tan 45\degree - \cosec 60\degree}{\cot 45\degree + \cos 60\degree - \sec 30\degree}

Krishna (last edited 3 years ago) (Expert, Educator @Qalaxia)

Step 1: Recall the trigonometric ratios of some specific angles.

Step 2: Substitute the values of the trigonometric ratios in the given equation

EXAMPLE: \frac{\sin 30\degree + \tan 45\degree - \cosec 60\degree}{\cot 45\degree + \cos 60\degree - \sec 30\degree}

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

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

= 1