Question

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Find the value of cosec²30° - sin²45° - sec²60°

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Answer 1

HELLO DEAR,


we know that:-
cosec 30°=2
sin 45°=1/√2
sec 60°=2
${ \cosec ^{2} (30) } - \sin ^{2} (45) - \sec ^{2} (60) \\ = > {2}^{2} - { (\frac{1}{ \sqrt{2} } })^{2} - {2}^{2} \\ = > - \frac{1}{2}$
I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

cosec² 30° - sin²45° - sec² 60°
cosec 30° = 2
sin 45°      = 1/√2
sec 60°     = 2
Therefore
(2)² - (1/√2)² - (2)²
4 - 1/2 - 4 = -1/2
-1/2 is the answer.