Question

The value of $4({\sin }^4{30}^{\circ }+co{s}^4{60}^{\circ })({\cos }^2{45}^{\circ }-{\sin }^2{90}^{\circ })+{\tan }^4{45}^{\circ }-{\cot }^2{45}^{\circ }$ is

• A. 0
• B. 1
• C. $-\frac{1}{4}$
• D. -2

Answer 1

Answer: (C)

$-\frac{1}{4}$

Putting the value from table in the given expression

$4\times (\frac{1}{16}+\frac{1}{16})\times (\frac{1}{2}-1)+1-1=\frac{-1}{4}$