Question

5/4(sec² 30- tan²30)+1/2cosec²45​

Answer 1

$\huge\mathcal\colorbox{purple}{{\color{white}{ᴀɴSᴡᴇƦ~~~↓}}}$

.

The answer is 9/4

.

Step-by-step explanation:

$\frac{5}{4} (sec² 30- tan²30)+ \frac{1}{2} cosec²45 \\ \\ = \frac{5}{4} [ {( \frac{2}{ \sqrt{3} }) }^{2} - {( \frac{1}{ \sqrt{3} } )}^{2} ] + \frac{1}{2} \times {( \sqrt{2} )}^{2} \\ \\ = \frac{5}{4} ( \frac{4}{3} - \frac{1}{3} ) + \frac{1}{2} \times 2 \\ \\ = \frac{5}{4} \times ( \frac{4 - 1}{3} ) + \frac{2}{2} \\ \\ = \frac{5}{4} \times \frac{3}{3} + 1 \\ \\ = \frac{5}{4} + \frac{1}{1} \\ \\ = \frac{5 + 4}{4} = \frac{9}{4}$

.

.

$\huge\boxed{\fcolorbox{black}{pink}{♛Give.Feedback♛}}$