how would i work this out?

Question

Note: Triangle may not be drawn to scale.

Suppose a = 12 and b = 11.

Find an exact value or give least two decimal places:

sin(A) = Incorrect  

cos(A) =   

tan(A) =   

sec(A) =   

csc(A) =   

cot(A) =   

Answer 1

If a = 12 and b = 11 then you can use the Pythagorean Theorem to calculate c:

12² + 11² = c²

144 + 121 = c²

c = √265

Now use that to find the trig ratios:

sin(A) = opp/hyp = a/c = 12/√265 but we rationalize the denominator by multiplying by √265/√265 to get

sin(A) = 12√265/265

Repeat for all the others