Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.
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Answer:
sinθ = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
By applying Pythagoras theorem in the given triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
= (24)² + 7²
Hypotenuse = √625 = 25
By applying sine rule in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Since, measure of opposite side = 24
Measure of hypotenuse = 25
Therefore, sinθ = [tex]\frac{24}{25}[/tex] will be the answer.