Math, asked by SHALOM25, 8 months ago

if sinA/cosA=1 then cosecA=​

Answers

Answered by Anonymous
1

Step-by-step explanation:

tan A = tan 45

A = 45

Cosec 45 = √2

Answered by Cynefin
5

Answer:

We are given with a trigonometric relation as below and we have to find the required trigonometric ratio.

GiveN:

  • sin A / cos A = 1

We have to find cosec A

Solution:

According to trigonometric relation between sin A, cos A and tan A:

  • sin A / cos A = tan A

Then,

➝ tan A = 1

tan A is equals to one when Angle A is 45°. For this you can refer to the trigonometric table.

➝ tan A = tan 45°

➝ A = 45°

Now we have to find for cosec A

➝ cosec 45°

Again by reciprocal relation,

➝ 1/ sin 45°

➝ 1/ 1/√2

➝ √2

So, the required value of cosec A:

 \large{ \boxed{ \red{ \sf{ \sqrt{2} }}}}

And we are done !!

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