Question

sin square 60 + 2 tan 45 - cos square 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

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

Step-by-step explanation:

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

To find : Solve the expression ?

Solution :

$\sin^2(60)+2\tan (45)-\cos^2 (30)=(\sin 60)^2+2\tan (45)-(\cos30)^2$

We know trigonometric values,

$\sin 60=\frac{\sqrt{3}}{2}$

$\cos 30=\frac{\sqrt{3}}{2}$

$\tan 45=1$

Substitute all values,

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

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

$=2$

Therefore, $\sin^2(60)+2\tan (45)-\cos^2 (30)=2$

#Learn more

4 sin squared 30 + 2 cos squared 60 - tan squared 45

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