Find the value of the following expression.

Given: 

​$$12(\sin^4\theta + \cos^4\theta)+18(\sin^6\theta +\cos^6\theta)+78\sin^2\theta cos^2\theta$$​​

Concept Used:   

To solve this trigonometric expression, we put $$\theta = 90^\circ$$  as putting any other value of $$\theta$$ also gives the same value. 

Trigonometric table for values.

​$$\begin{array}{|c|c|c|c|c|c|}\hline\text{Angle} & 0^\circ & 30^\circ & 45^\circ & 60^\circ & 90^\circ \\\hline\sin \theta & 0 & \frac{1}{2} & \frac{\sqrt{2}}{2} & \frac{\sqrt{3}}{2} & 1 \\\hline\cos \theta & 1 & \frac{\sqrt{3}}{2} & \frac{\sqrt{2}}{2} & \frac{1}{2} & 0 \\\hline\tan \theta & 0 & \frac{1}{\sqrt{3}} & 1 & \sqrt{3} & \text{undefined} \\\hline\csc \theta & \text{undefined} & 2 & \sqrt{2} & \frac{2}{\sqrt{3}} & 1 \\\hline\sec \theta & 1 & \frac{2}{\sqrt{3}} & \sqrt{2} & 2 & \text{undefined} \\\hline\cot \theta & \text{undefined} & \sqrt{3} & 1 & \frac{1}{\sqrt{3}} & 0 \\\hline\end{array}$$​​

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