By the cofunction property, cos 33° = sin _______
by the cofunction property
cos B = sin A
so, if angle B = 33
angle A = ?
sin(A)=cos(90°-A)
cos(33°)=sin(90°-33°)=sin(57°)
By the cofunction property, the cosine of an angle is equal to the sine of its complement. Since the complement of 33° is 90° - 33° = 57°, we can say that cos 33° = sin 57°.
To utilize the cofunction property, we need to understand that it states that the sine of an angle is equal to the cosine of its complementary angle, and vice versa. In other words, if we have an angle A, then sin(A) = cos(90° - A) and cos(A) = sin(90° - A).
In this case, we want to find sin of an angle that is complementary to 33°. The complementary angle to 33° would be 90° - 33°, which equals 57°.
Therefore, by using the cofunction property, we can conclude that cos 33° = sin 57°.