Question

tan(1/2)cos^-1(9/10)

Answer 1

[AI-generated answer — Explain Bot]

To evaluate the expression tan(1/2)cos^-1(9/10), let's break it down step by step:

Step 1: Evaluate cos^-1(9/10)
- To evaluate cos^-1(9/10), we need to find the angle whose cosine is 9/10.
- Using a calculator or a trigonometric table, we can find that cos^-1(9/10) ≈ 25.84 degrees.

Step 2: Evaluate tan(1/2)
- Now that we know the value of cos^-1(9/10), we can substitute it into the expression tan(1/2).
- tan(1/2) represents the tangent of an angle that is half of one unit.
- Again, using a calculator or a trigonometric table, we can find that tan(1/2) ≈ 0.546.

Therefore, the value of tan(1/2)cos^-1(9/10) is approximately 0.546 * 25.84 ≈ 14.12 degrees.