To express sin 30 in terms of trigonometric functions of theta, we first need to recall the value of sin 30 degrees. We know that sin 30° = 1/2.
Now, to relate this to the angle theta, we must find a context or a specific scenario where theta can be set such that the sine function of this angle gives us the same value as sin 30.
For example, if we let theta = 30 degrees, then we can directly say that:
sin(theta) = sin(30°) = 1/2.
Alternatively, if we want to express sin 30 in terms of another angle, we can state that:
sin(30) = sin(90° – 60°), using the complementary angle property of sine.
This shows that sin 30 can also be expressed in a different form using another angle related to theta. However, the simplest way remains:
sin(30°) = 1/2 when theta is defined as 30 degrees.