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Evaluate: sin^(-1)(0) + cos^(-1)(0).
Evaluate: sin^(-1)(0) + cos^(-1)(0).
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Practice Questions
1 question
Q1
Evaluate: sin^(-1)(0) + cos^(-1)(0).
0
π/2
π
1
Show Solution
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sin^(-1)(0) = 0 and cos^(-1)(0) = π/2, thus the sum is 0 + π/2 = π/2.
Questions & Step-by-step Solutions
1 item
Q
Q: Evaluate: sin^(-1)(0) + cos^(-1)(0).
Solution:
sin^(-1)(0) = 0 and cos^(-1)(0) = π/2, thus the sum is 0 + π/2 = π/2.
Steps: 5
Show Steps
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 π/2 radians (90 degrees) is 0. Therefore, cos^(-1)(0) = π/2.
Step 5: Add the results from Step 2 and Step 4. So, 0 + π/2 = π/2.
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