Math  /  Trigonometry

QuestionFind sinθ\sin \theta given cscθ=445\csc \theta = \frac{\sqrt{44}}{5}. Rationalize denominators if needed.

Studdy Solution
Rationalize the denominator by multiplying the numerator and the denominator by 44\sqrt{44}.
sinθ=54444\sin \theta = \frac{5\sqrt{44}}{44}So, the exact value of sinθ\sin \theta for the given value of cscθ\csc \theta is 54444\frac{5\sqrt{44}}{44}.

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