If $sinA=cosB=\frac{1}{2}$. Find the value of $tan( A+B)$.

Given: $sinA=cosB=\frac{1}{2}$.

To do: To find the value of $tan( A+B)$.

Solution: 

As given $sinA=\frac{1}{2}$ 

$\Rightarrow A=30^{o}$

Similarly $cosB=\frac{1}{2}$

$\Rightarrow B=60^{o}$

$\therefore A+B=30^{o}+60^{o}=90^{o}$

$\Rightarrow tan( A+B)=tan90^{o}=\infty$

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Updated on: 10-Oct-2022

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