Question

4sin^2 7pi/6 + sec^2 pi/6 cos^2 pi/4​

Answer 1

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Answer 2

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Given Question:

4sin²π/6+sec²π/6×cos²π/4

Solution:

4sin²π/6+sec²π/6×cos²π/4

=4sin²30°+sec²30°×cos²45°

= 4(1/2)²+(2/√3)²×(1/√2)²

= 4(1/4)+(4/3)×(1/2)

= 1+2/3

= 3+2/3

= 5/3

Answer: 5/3