Use the value of this trigonometric function to evaluate the indicated function.
1.
cos(t) = 3/4
cos(-t) = ?
Ans: 3/4
2.
sin(-t) = 3/8
sin(t) = ?
Ans: -(3/8)
correct
To evaluate the indicated functions, we need to understand the properties of trigonometric functions with respect to angles.
1. To find the value of cos(-t) if cos(t) = 3/4:
- The cosine function is an even function, which means cos(-t) = cos(t).
- Therefore, cos(-t) = cos(t) = 3/4.
2. To find the value of sin(t) if sin(-t) = 3/8:
- The sine function is an odd function. This means sin(-t) = -sin(t).
- Rearranging the given information, we have -sin(t) = 3/8.
- To find sin(t), we can multiply both sides of the equation by -1 to get sin(t) = -(3/8).
Therefore, the answers are:
1. cos(-t) = 3/4
2. sin(t) = -(3/8)