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In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine sin A, cos A - Mathematics

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Sum

In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine

sin A, cos A

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Solution

Applying Pythagoras theorem for ΔABC, we obtain

AC2 = AB2 + BC2

= (24 cm)2 + (7 cm)2

= (576 + 49) cm2

= 625 cm2

∴ AC = `sqrt(625)` cm = 25 cm

sin A  = `("Side opposite to" ∠A)/"Hypotenuse"="BC"/"AC"`

cos A = `("Side adjacent to" ∠A)/"Hypotenuse"="AB"/"AC"=24/25`

Concept: Trigonometric Ratios
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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.1 | Q 1.1 | Page 181
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