Find sin(θ), cos(θ), tan(θ). Assume a = 40, b = 9, and c = 41.
To find sin(θ), cos(θ), and tan(θ), we need to use the values of a, b, and c.
In a right triangle, the sides are typically labeled as follows:
- The side opposite to the angle θ is called the opposite side (b in this case).
- The side adjacent to the angle θ is called the adjacent side (a in this case).
- The hypotenuse of the triangle is always opposite the right angle and is labeled as c.
Using these definitions, we can calculate sin(θ), cos(θ), and tan(θ):
1. sin(θ) = opposite/hypotenuse = b/c.
Therefore, substituting the given values, sin(θ) = 9/41.
2. cos(θ) = adjacent/hypotenuse = a/c.
Therefore, substituting the given values, cos(θ) = 40/41.
3. tan(θ) = opposite/adjacent = b/a.
Therefore, substituting the given values, tan(θ) = 9/40.
Therefore, sin(θ) = 9/41, cos(θ) = 40/41, and tan(θ) = 9/40.