Question

$3 \tan \binom{2\pi}{3} - 2 \sec \binom{3\pi}{4}$


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Answer 1

Step-by-step explanation:

3tan(2π/3) - 2sec(3π/4)

=3tan(2π/3) - 2{1/cos(3π/4)}

=3(-√3) - 2{1/(-√2/2)}

=-3√3 - 2(-2/√2)

=-3√3 - 2(-2√2/2)

= -3√3 - (-2√2)

=-3√3 + 2√2

= 2√2 - 3√3