Question

find the value of tan (435°).

Answer 1

I hope you got your answer

Answer 2

The value of tan(435°) is $\frac{\sqrt{3} + 1}{\sqrt{3}-1}$.

Step-by-step explanation:

tan(435°)

= tan(435° - 360°)

= tan (75°)

= tan(45° + 35°)

$= \frac{tan(45^{0}) + tan(30^{0})}{1 - tan(45^{0}).tan(30^{0})}\\\\= \frac{1+\frac{1}{\sqrt{3}}}{1- 1.\frac{1}{\sqrt{3}}}\\\\= \frac{\sqrt{3} + 1}{\sqrt{3} - 1}$

Hence, the value of tan(435°) is $\frac{\sqrt{3} + 1}{\sqrt{3}-1}$.