Math, asked by rohitWagle9, 1 year ago

Evaluate tan 65 / cot 25?

Answers

Answered by ashlee
90
Please refer to the attachment-
Attachments:
Answered by pulakmath007
4

\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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