trigonometry right triangle

Question

Note: Triangle may not be drawn to scale.

Suppose a = 9 and b = 10.

Find an exact value for each of the following trig functions.

sin(A) =    

cos(A) =    

tan(A) =    

sec(A) =    

csc(A) =    

cot(A) =  

Answer 1

First we need to find the length of the hypotenuse using the Pythagorean Theorem.

9² + 10² = c²

181 = c^2√

√181 = c

sin(A) = 9/√181

cos(A) = 10/√181

tan(A) = 9/10

sec(A) = √181/10

csc(A) = √181/9

cot(A) = 10/9

Those are the exact values