Question

if sinA = 5/13 then find cotA=​

Answer 1

Step-by-step explanation:

solve:.sinA=lamb/karn=5/13

lamb=5

karn =13

karn^2=lamb^2+aadhar^2

(13)^2=(5)^2+aadhar^2

169=25+aadhar^2

169-25=aadhar^2

aadhar^2=root 144

aadhar=12

so

cotA=aadhar/lamb

=12/5 is the correct answer

Answer 2

Given: Given that sinA=5/13.

To find: We have to find the value of cotA.

Solution:

To determine the value of cotA from the value of sinA we have to follow the below steps-

We know that-

cosecA is the inverse of sinA.

So, the value of cosecA is 13/5.

We know that-

$cosec^2A-cot^2A=1$.

$cosec^2A-1=cot^2A=$

$cot^2A=(13/5)^2-1\\cot^2A=169/25-1\\cot^2A=(169-25)/25\\cot^2A=144/25\\cotA=12/5$

Thus, the result is 12/5.

So, the value of cotA is 12/5.