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Mathematics Question on Trigonometric Equations

If sin⁡θ+cos⁡θsin⁡θ+cos⁡θ=177\frac{\sin{\theta} + \cos{\theta}}{\sin{\theta} + \cos{\theta}} = \frac{1}{77}, then find the value of sin⁡4θ−cos⁡4θ\sin^4{\theta} - \cos^4{\theta}:

A

119

B

125\frac{12}{5}

C

119169\frac{119}{169}

D

23\frac{2}{3}

Answer

119169\frac{119}{169}

Explanation

Solution

The correct option is(C): 119169\frac{119}{169}