Question

Evaluate; tan^2 60 - sin^2 45.​

Answer 1

`(5)/(2)`

Explanation:

The exact value of tan(60) is sqrt(3), and sin(45) is 1/sqrt(2)

tan^2 (60) - sin^2 (45)

`=(√(3))^2-((1)/(√(2)) )^2\\=3-(1)/(2)\\ = (5)/(2)`

Answer 2

tan^2 60 - sin^2 45

= (√3)^2- (1/√2)^2

= 3-1/2

= 6-1/2

= 5/2