Answer:
tan^2 60 - sin^2 45
= (√3)^2- (1/√2)^2
= 3-1/2
= 6-1/2
= 5/2
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The exact value of tan(60) is sqrt(3), and sin(45) is 1/sqrt(2)
tan^2 (60) - sin^2 (45)
[tex]=(\sqrt{3})^2-(\frac{1}{\sqrt{2}} )^2\\=3-\frac{1}{2}\\ = \frac{5}{2}[/tex]
