assume A= alpha

using complementary rule how do I solve for alpha?

cos(2A+40) =sin(3A-60)

I don't understand how to start the question. What are the steps in solving for alpha.

Do i get cos to equal sin somehow?

1 answer

for the complementary angle property
sinA = cos(90-A)

so

cos(2A+40) = sin(3A-60)
sin(90 - (2A+40) ) = sin(3A-60)
sin(50-2A) = sin(3A-60)
then
50-2A = 3A-60
110 = 5A
A = 22°