Evaluate: sin^(-1)(1) + cos^(-1)(0).

1 question

1 item

Q: Evaluate: sin^(-1)(1) + cos^(-1)(0).

Solution: sin^(-1)(1) = π/2 and cos^(-1)(0) = π/2. Therefore, π/2 + π/2 = π.

Steps: 5

Step 1: Understand the notation sin^(-1)(1) and cos^(-1)(0). This means we are looking for the angles whose sine is 1 and whose cosine is 0.
Step 2: Find sin^(-1)(1). The sine of an angle is 1 at π/2 radians (90 degrees). So, sin^(-1)(1) = π/2.
Step 3: Find cos^(-1)(0). The cosine of an angle is 0 at π/2 radians (90 degrees). So, cos^(-1)(0) = π/2.
Step 4: Add the results from Step 2 and Step 3. We have π/2 + π/2.
Step 5: Calculate π/2 + π/2. This equals π (since π/2 + π/2 = 2π/2 = π).