Question

Consider △ABC. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 13, the length of B C is 12, and the length of A C is 5. What are the angles that make the trigonometric statements true? sin( ) = cos(B) sin(B) = cos( )

Answer 1

sin(A)=cos(B)

sin(B)=cos(A)

Explanation:

I did it, but if you're seeing this, have a good day

Answer 2

22.62°

Explanation:

Considering △ABC. If angle B C A is a right angle, then;

m<BCA = 90 degrees

Given also

AB = 13

BC = 12

AC = 5.

According to SOH, CAH TOA;

Sin <B = AC/AB

Cos <B = BC/AB

Substitute the given values

Sin B = 5/13

B = arcsin(5/13)

B = 22.62

Cos B = 12/13

B = arccos (12/13)

B =22.62

Hence the angles that make sinB = cosB is 22.62°