Question

Evaluate :
sin^2 60° + 2 tan45° - cos^2 30°

Answer 1

Answer:

Step-by-step explanation:

sin²60° + 2 tan²45° - cos²30°

= ( √3 / 2 )² + 2 × 1 - ( √3 / 2 )

= 3 / 4 + 2 - 3 / 4

= 2 [ Required Answer ]

Answer 2

$\sin^2 60^\circ+2\tan 45^\circ-\cos^2 30^\circ=2$

Step-by-step explanation:

Given : Expression $\sin^2 60^\circ+2\tan 45^\circ-\cos^2 30^\circ$

To find : Evaluate the expression ?

Solution :

$\sin^2 60^\circ+2\tan 45^\circ-\cos^2 30^\circ$

Using trigonometric values,

$\sin 60^\circ=\frac{\sqrt3}{2}$

$\tan 45^\circ =1$

$\cos 30^\circ=\frac{\sqrt3}{2}$

Substitute the values,

$=(\frac{\sqrt3}{2})^2+2(1)-(\frac{\sqrt3}{2})^2$

$=\frac{3}{4}+2-\frac{3}{4}$

$=2$

Therefore, $\sin^2 60^\circ+2\tan 45^\circ-\cos^2 30^\circ=2$.

#Learn more

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