First slide

Trigonometric Identities

Question

In $Δ A B C,$ right angled at C, then $\tan A + \tan B =$

Moderate

A

$\frac{a^{2}}{b c}$
B

$\frac{b^{2}}{a c}$
C

$\frac{c^{2}}{a b}$
D

$\frac{a b}{c}$

Solution

$∠ C = 90 °$ $∴ \tan A + \tan B = \frac{a}{b} + \frac{b}{a} = \frac{a^{2} + b^{2}}{a b} = \frac{c^{2}}{a b}$

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