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Mathematics Question on Trigonometric Identities

The value of ∣sin⁡214∘sin⁡266∘tan⁡135∘ sin⁡266∘tan⁡135∘sin⁡214∘ tan⁡135∘sin⁡214∘sin⁡266∘∣\begin{vmatrix} \sin^2 14 \degree & \sin^2 66\degree & \tan 135\degree \\\ \sin^2 66\degree & \tan 135\degree & \sin^2 14 \degree \\\ \tan 135\degree & \sin^2 14 \degree & \sin^2 66\degree \end{vmatrix}

A

1

B

-1

C

2

D

0

Answer

0

Explanation

Solution

The correct answer is (D) :0 .