What is the value of the expression 3\tan^2\pi/6+4/3\cos^2\pi/6-1/2\cot^3\pi/4 -2/3\sin^2\pi/3+1/8\sec^4\pi/3?

Trigonometry Practice Test 1

Question : 28 of 40

Marks: +1, -0

What is the value of the expression

3\tan^2π/6+4/3\cos^2π/6-1/2\cot^3π/4

-2/3\sin^2π/3+1/8\sec^4π/3

Solution:

3\tan^2π/6+4/3\cos^2π/6-1/2\cot^3π/4

-2/3\sin^2π/3+1/8\sec^4π/3

=3 . 1/3 +4/3 . 3/4 -1/2 -2/3 . 3/4 +1/8 . 16

=3

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