Which relationship in the triangle must be true?
sin(b) = sin(a)
sin(b) = cos(90 -b)
cos(b) = sin(180-b)
cos(b) cos(a)

sin(B)=cos(90°-B)

Step-by-step explanation:

we know that

In the right triangle of the figure

sin(B)=b/c > The sine of angle B is equal to divide the opposite side to angle B by the hypotenuse

cos(A)=b/c > The cosine of angle A is equal to divide the adjacent side to angle A by the hypotenuse

we have that

sin(B)=cos(A)

Remember that

A+B=90° > by complementary angles

so

A=90°-B

therefore

sin(B)=cos(A)

sin(B)=cos(90°-B)

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

true

step-by-step explanation: