If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z?

z = 3
z = 4
z = 5
z = 6

z=6.  quick maths

Step-by-step explanation:

z = 6

Step-by-step explanation:

we know that

if  sin(A)=cos(B)

then

angle A and angle B are complementary angles

therefore

In this problem

sin(9z − 1) = cos(6z + 1)

then

(9z − 1)+(6z + 1)=90° > by complementary angles

Solve for z

15z=90

z=90/15=6

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.

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