Question

what is tan(π/2- theta)??​

Answer 1

tan(π/2-thita)=tan(180/2-thita)

=tan(90-thita)

Answer 2

$\displaystyle \sf{tan \bigg( \frac{\pi}{2} - \theta\bigg) = cot \: \theta }$

Given :

$\displaystyle \sf{tan \bigg( \frac{\pi}{2} - \theta\bigg) }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{tan \bigg( \frac{\pi}{2} - \theta\bigg) }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{tan \bigg( \frac{\pi}{2} - \theta\bigg) }$

$\displaystyle \sf{ = tan ( {90}^{ \circ} - \theta) }$

$\displaystyle \sf{ = cot \: \theta }$

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