Question

Evaluate 3sin^2 60 + 4cos^2 30 - sec^2 60 - cosec^2 45

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...
$\sin(60) = \frac{ \sqrt{3} }{2} \\ \cos(30) = \frac{ \sqrt{3} }{2} \\ \sec(60) = 2 \\ \csc(45) = \sqrt{2}$
csc means cosec
$3 { \sin }^{2} 60 + 4 { \cos}^{2} 30 - { \sec}^{2} 60 - { \csc}^{2} 45 \\ = 3 \times { (\frac{ \sqrt{3} }{2} )}^{2} + 4 \times {( \frac{ \sqrt{3} }{2}) }^{2} - {2}^{2} - { \sqrt{2} }^{2} \\ = 3 \times \frac{3}{4} + 4 \times \frac{3}{4} - 4 - 2 \\ = \frac{9}{4} + 3 - 4 - 2 \\ = \frac{9 - 12}{4} \\ = \frac{-3}{4}$
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Answer 2

hey friend here is your answer

hope it's helps