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What is the value of sin(45°) + cos(45°)?

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Question: What is the value of sin(45°) + cos(45°)?

Options:

  1. √2
  2. 1
  3. 0
  4. √3

Correct Answer: √2

Solution: 

sin(45°) = cos(45°) = √2/2. Therefore, sin(45°) + cos(45°) = √2/2 + √2/2 = √2.

What is the value of sin(45°) + cos(45°)?

Practice Questions

Q1
What is the value of sin(45°) + cos(45°)?
  1. √2
  2. 1
  3. 0
  4. √3

Questions & Step-by-Step Solutions

What is the value of sin(45°) + cos(45°)?
Correct Answer: √2
  • Step 1: Understand that we need to find the values of sin(45°) and cos(45°).
  • Step 2: Recall that sin(45°) is equal to √2/2.
  • Step 3: Recall that cos(45°) is also equal to √2/2.
  • Step 4: Add the two values together: sin(45°) + cos(45°) = √2/2 + √2/2.
  • Step 5: Simplify the addition: √2/2 + √2/2 equals 2(√2/2).
  • Step 6: The 2s cancel out, leaving us with √2.
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