Question

4 [sin^4 (30 degree) + cos^4 (60 degree)] - 3[ cos^2 (45 degree) - sin^2 (90 degree)] ​

Answer 1

Answer:

Answer : 2

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Answer 2

Given :

4 [ $sin^{4} 30$° + $cos^{4}$60°] - 3[ $cos^{2}$45° - $sin^{2}$90°]

To Find :

We are required to find the value of given trigonometric functions.

Solution :

4 [ $sin^{4} 30$° + $cos^{4}$60°] - 3[ $cos^{2}$45° - $sin^{2}$90°]

= 4 [ $(\frac{1}{2} )^{4}$ +

= 4[ $\frac{1}{16}$ +

= 4× $\frac{2}{16}$  - 3[-$\frac{1}{2}$]

= $\frac{1}{2}$ + $\frac{3}{2}$

= $\frac{4}{2}$

= 2

∴ The value of 4 [ $sin^{4} 30$° + $cos^{4}$60°] - 3[ $cos^{2}$45° - $sin^{2}$90°] is 2.