Question

2tan^2 45°+cos^2 30°-sin^2 60° Evaluate​

Answer 1

Answer:

tan45° = 1

cos30° = root 3 / 2

Sun 60° = root 3/2

now

put these value in equ.

2 × 1 + 3 / 4 - 3/4

= 2

Answer 2

$Value \:of \: 2tan^2 45+cos^2 30-sin^2 60$

$= 2 \times 1^{2} + \Big( \frac{\sqrt{3}}{2}\Big)^{2} - \Big( \frac{\sqrt{3}}{2}\Big)^{2}$

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

$= 2$

Therefore.,

$\red{ Value \:of \: 2tan^2 45+cos^2 30-sin^2 60} \green { = 2}$

•••♪