Question

simply the expression by first substituting values from the table of exact values and then simplifying the resulting expression. (tan 45* + tan 60*)^2 (^2=squared)

Answer 1

Solution:

$$\tan 45{}^\circ = 1$$ $$\tan 60{}^\circ = \sqrt{3}$$ $$(\tan 45{}^\circ + \tan 60{}^\circ)^2 = (1 + \sqrt{3})^2 = 1 + 2\sqrt{3} + 3 = 4 + 2\sqrt{3}$$

Answer: $(\tan 45{}^\circ + \tan 60{}^\circ)^2 = 4 + 2\sqrt{3}$