solve problem

Question

A function value and a quadrant are given. find the other five functions value. give exact answers?

 

COT=5  Quadrant 1

 

SIN=                      COS=          TAN=

 

 

CSC=                      SEC=

Answer 1

Cot is defined as adjacent/opposite. This means TAN = 1/5   Also, the hypotenuse must be √1² + 5² ) = √26

 

So SIN = 1/√26 = 1√26/26   CSC = √26       COS = 5/√26 = 5√26/26