The absolute value of sin(– 870°) + cosec(– 660°) + tan(– 855°) + 2 cot (840°) + cos (480°) + sec (900°) is equal to

Engineering

Mathematics

Definition of Trigonometric Ratio

Question

$\sqrt{3}$

– 1

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– sin(810° + 60°) – cosec(720° – 60°) – tan(720° + 135°) + 2 cot(720° + 120°) + cos(360° + 120°)
+ sec(720° + 180°)
– sin(810° + 60°) – cosec(720° – 60°) – tan(135°) + 2 cot(120°) + cos(120°) + sec(180°)
$= - \frac{1}{2} + \frac{2}{\sqrt{3}} + 1 - \frac{2}{\sqrt{3}} - \frac{1}{2} - 1 = - 1$ .
∴ Absolute value = | – 1 | = 1. Ans.

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