Question

what are the trigonometric ratios of complementary angles?

Answer 1

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In ΔABC, ∠B = 90°

Let ∠A = ∅

Hence ∠C = 90° – ∅

Thus angles ∅ and (90° – ∅) are complementary angles.

1. sin (90° – ∅) = cos ∅

2. cosec (90° – ∅) = sec ∅

3. tan (90° – ∅) = cot ∅

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