Cot2 30-2cos2 60-3/4sec2 45-4sec2 30
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Answered by
9
Answer:
-13/3
Step-by-step explanation:
Given,
cot^2 30° - 2cos^2 60° - 3/4 sec^2 45° - 4 sec^2 30°
We know that,
cot 30° = √3
cos 60° = 1/2
sec 45° = √2
sec 30° = 2/√3
Then,
cot^2 30° - 2cos^2 60° - 3/4 sec^2 45° - 4 sec^2 30° =
= (√3 × √3) - (2 × 1/2 × 1/2) - (3/4 × √2 × √2) - (4 × 2/√3 × 2/√3)
= 3 - 1/2 - 3/2 - 16/3
= 18/6 - 3/6 - 9/6 - 32/6
= -26/6
= -13/3
Hence, the required answer = -13/3
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3
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