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Evaluate: sin⁡48∘−cos⁡42∘sin48 ∘ −cos42 ∘

Question

Evaluate: sin⁡48∘−cos⁡42∘sin48 ∘ −cos42 ∘

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Solution

To evaluate the expression sin(48°) - cos(42°), you need to use a calculator or a trigonometric table.

Step 1: Find the sine of 48 degrees. Using a calculator, sin(48°) ≈ 0.7431448.

Step 2: Find the cosine of 42 degrees. Using a calculator, cos(42°) ≈ 0.7431448.

Step 3: Subtract the cosine of 42 degrees from the sine of 48 degrees.

0.7431448 - 0.7431448 = 0

So, sin(48°) - cos(42°) = 0.

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