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Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps
  1. Step 1

    The problem asks to find the value of the expression (sin(30°) + cos(60°)) / (tan(45°) + sec(0°)).

  2. Step 2

    We need to find the values of the trigonometric functions involved:
    sin(30°) = 1/2
    cos(60°) = 1/2
    tan(45°) = 1
    sec(0°) = 1 / cos(0°) = 1 / 1 = 1

  3. Step 3

    Substitute these values into the expression:
    ((1/2) + (1/2)) / (1 + 1)

  4. Step 4

    Simplify the numerator and the denominator:
    (1) / (2)

  5. Step 5

    Calculate the final value:
    1/2

    The value of the expression is 1/2.

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