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

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

Options:

  1. 0
  2. π/2
  3. π
  4. 1

Correct Answer: π/2

Solution: 

sin^(-1)(0) = 0 and cos^(-1)(0) = π/2, thus the sum is 0 + π/2 = π/2.

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

Practice Questions

Q1
Evaluate: sin^(-1)(0) + cos^(-1)(0).
  1. 0
  2. π/2
  3. π
  4. 1

Questions & Step-by-Step Solutions

Evaluate: sin^(-1)(0) + cos^(-1)(0).
  • Step 1: Understand what sin^(-1)(0) means. It is asking for the angle whose sine is 0.
  • Step 2: Recall that the sine of 0 radians is 0. Therefore, sin^(-1)(0) = 0.
  • Step 3: Now, understand what cos^(-1)(0) means. It is asking for the angle whose cosine is 0.
  • Step 4: Recall that the cosine of Ï€/2 radians (90 degrees) is 0. Therefore, cos^(-1)(0) = Ï€/2.
  • Step 5: Add the results from Step 2 and Step 4. So, 0 + Ï€/2 = Ï€/2.
  • Inverse Trigonometric Functions – Understanding the values of sin^(-1)(x) and cos^(-1)(x) for specific inputs.
  • Sum of Angles – Calculating the sum of angles derived from inverse trigonometric functions.
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