Math, asked by Rockstararnav, 8 months ago

Cot2 30-2cos2 60-3/4sec2 45-4sec2 30

Answers

Answered by Anonymous
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

Answered by manishm758
3

Answer:

Step-by-step explanation:

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