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In the given figure, PQR is a triangle, in which QS ⊥ PR, QS = 3 cm, PS = 4 cm and QR = 12 cm, find the value of: sin P - Mathematics

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Question

In the given figure, PQR is a triangle, in which QS ⊥ PR, QS = 3 cm, PS = 4 cm and QR = 12 cm, find the value of: sin P

Sum
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Solution

ΔQSP is a right-angled triangle.
∴ PQ2 = QS2 + PS2
= 32 + 42
= 9 + 16
= 25
⇒ PQ = 5cm
sin P

= `"QS"/"PQ"` 

= `(3)/(5)`.

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Chapter 26: Trigonometrical Ratios - Exercise 26.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 26 Trigonometrical Ratios
Exercise 26.1 | Q 10.1
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