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Solving Compound Angle Formula Example for Sin DAB

This example demonstrates how to find the exact value of sin DAB using compound angle formulas. Given the conditions DC = 3 and DA = 5, we set the angle LDAB to 90 + x. We apply trigonometric identities to simplify sin DAB. Using the sine addition formula, we find that sin(90 + x) can be expressed in terms of sine and cosine functions. After calculations, we determine that sin DAB is influenced by the given lengths DC and DA as well as the angles involved.

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Solving Compound Angle Formula Example for Sin DAB

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  1. Compound Angle Formulae Nasty Example

  2. DC = 3, DA = 5 Write the exact value of sin DAB LDAB = 90 + x sin (90 + x) sin DAB = 3 C D x 5 B A

  3. ? ? sin (90 + x) = sin 90 cos x + cos90 sin x = 1(4/5) + 0(3/5) = 4/5 3 C D 4 sin x = 3/5 x 5 cos x = 4/5 B A √ (52 – 32)

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