Question

Find the value of
1)sin0° + cos30° - tan45° + cosec60°
​

Answer 1

$\huge{\mathcal{\pink{ANSWER}}}$

sin0° + sin30°- tan45° + cosec60°

Substituting the values, we get

$0 + \frac{ \sqrt{3} }{2} - 1 + \frac{2}{ \sqrt{3} }$

LCM - 2√3

So,

$\frac{3}{2 \sqrt{3} } - \frac{2 \sqrt{3} }{2 \sqrt{3} } + \frac{4}{2 \sqrt{3} }$

$\frac{3 - 2 \sqrt{3} + 4 }{2 \sqrt{3} }$

$\frac{7 - 2 \sqrt{3} }{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{2 \sqrt{3} }$

$\frac{14 \sqrt{3} - 12 }{12}$

$\frac{2(7 \sqrt{3} - 6) }{12}$

$\frac{7 \sqrt{3} - 6 }{6}$