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In the figure given below find the value of sin theta and cos alpha.
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Answer:
Both Are 5/13
Step-by-step explanation:
Given that ∠PQR = 90°
Therefore, according to pythagoras theorem,
PR² = PQ² + QR²
=> 13² = 12² + QR²
=> 169 = 144 + QR²
=> QR² = 169-144 = 25
=> QR = sqrt(25) = 5cm
Now, sinθ = opposite / hypotenuse = sinP = QR/PR = 5/13
Cosα = Adjacent / hypotenuse = QR / PR = 5/13
That also implies Cosα= 90-Sinθ
I hope u understand....
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