Question 119

If $$\theta +\phi = \frac {\pi}{4}$$, then $$(1 + \tan \theta) (1 + \tan \phi) =$$

Solution

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Solution

If $$\theta +\phi = \frac {\pi}{4}$$, then $$(1 + \tan \theta) (1 + \tan \phi) =$$

We can assume, $$\theta\ $$ = 0

So $$\phi$$ = $$\frac{\pi}{4}$$

then putting values in,

$$(1 + \tan \theta) (1 + \tan \phi) =$$

= $$(1 + 0) (1 + \tan \frac{\pi}{4}) =$$ $$\left(1+0\right)\left(1+1\right)=1\times\ 2\ =\ 2$$

= 2

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