First slide

Trigonometric Identities

Question

$\tan 35^{0} + \tan 325^{0} - \tan 127^{0} = k \cot 37^{0} t h e n$ k=

Moderate

A

1
B

-1
C

2
D

5

Solution

$\begin{matrix} \tan 35^{0} + \tan 325^{0} - \tan 127^{0} = \tan 35^{0} + \tan (360 - 35^{0}) - \tan (90 + 37^{0}) \\ = \tan 35^{0} - \tan 35^{0} + \cot 37^{0} = \cot 37^{0} \\ \Rightarrow k = 1 \end{matrix}$

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