Question

Sin²45° - Tan²30"
Sec ²30 + cos² 45°
St

Answer 1

Step-by-step explanation:

(sin45)² - (tan30)²

1/2 - 1/3

1/6

Answer 2

Sin 45 = 1/sqrt2
Tan 30 = 1/sqrt3
Therefore, sin^2 45 - tan^2 30 = 1/2 - 1/3 = (3-2)/6 = 1/6

Sec 30 = 2/sqrt3
Cos 45 = 1/sqrt2
Therefore, sec^2 30 + cos^2 45 = 4/3 + 1/2 = (8-3)/6 = 5/6

I hope it helps…!