Question

Evaluate tan 65 / cot 25?

Answer 1

Please refer to the attachment-

Answer 2

$\displaystyle \sf{ \frac{tan \: {65}^{ \circ} }{cot \: {25}^{ \circ} } = 1 }$

Given :

$\displaystyle \sf{ \frac{tan \: {65}^{ \circ} }{cot \: {25}^{ \circ} } }$

To find : The value

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ \frac{tan \: {65}^{ \circ} }{cot \: {25}^{ \circ} } }$

Step 2 of 2 :

Find the value

$\displaystyle \sf{ \frac{tan \: {65}^{ \circ} }{cot \: {25}^{ \circ} } }$

$\displaystyle \sf{ = \frac{tan \: ({90}^{ \circ} - {25}^{ \circ})}{cot \: {25}^{ \circ} } }$

$\displaystyle \sf{ = \frac{cot \: {25}^{ \circ}}{cot \: {25}^{ \circ} } }$

$\displaystyle \sf{ = 1}$

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