Question

the value of tan² 30° - 4 sin² 45° is .​

Answer 1

tan ²30° - 4 sin²45°

(1/√3)² - 4 × (1/√2)²

1/3 - 4 × 1/2

= -5/3

Hope it helps you mate ❤️

Answer 2

Answer:

Value of $tan^{2}$30° -4$sin^{2}$45° is -5/3

Step-by-step explanation:

As we know ,

Value of tan30°= 1/$\sqrt{3}$

Value of Sin 45° = 1/$\sqrt{2}$

Putting the value of tan30° and Sin45°

$tan^{2}$30° - 4$sin^{2}$45°

= $(1/\sqrt{3)} ^{2}$ - 4 $(1/\sqrt{2} ^{2}$

= (1/3 ) -{4× (1/2)

= (1/3)-2

= (1-6)/3

= -5/3