Question

If tan²45° – cos²30° = x sin 45° cos 45° then x = ?

पर्याय

• 2

• –2

• `1/2`

• `-1/2`

Answer 1

`bb(1/2)`

Explanation:

`x = (tan^2 45^circ - cos^2 30^circ)/(sin 45^circ cos 45^circ)`

= `(1 - (sqrt(3)/2)^2)/((1/sqrt(2) xx 1/sqrt(2)))`

= `((1 - 3/4))/((1/2))`

= `(1/4 xx 2/1)`

= `1/2`