Math, asked by ajaysingh2476, 11 months ago

Find the value of tan26/cot64

Answers

Answered by MrBhukkad
2

Answer:

HEY MATE,

HERE IS YOUR ANSWER.

Step-by-step explanation:

tan26°/cot64°

= tan26°/cot(90°-26°)

= tan26°/tan26° [we know tanΦ=cot(90°-Φ)]

= 1

Answered by kaushik05
11

  \red{\huge \mathfrak{solution}}

Given :

To find the value of

 \frac{ \tan(26) }{ \cot(64) }

As we know that

 \tan(90 -  \alpha )  =  \cot(  \alpha )  \\ and \\  \cot(90 -  \alpha )  =  \tan( \alpha )

So change tan 26= tan(90-64)

 =  >   \frac{ \tan(90 - 64) }{ \cot(64) }  \\  =  >  \frac{  \cot(64)  }{ \cot(64) }  \\

Both gets cancel ,

 =  > 1

hence the value is 1

Some formula:

sin(90-@)=cos@

sec(90-@)=cosec@

tan(90-@)=cot@

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