0

Guest

Courses New

1. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine: (i) sin A, cos A (ii) sin C, cos C

1. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:

(i) sin A, cos A

(ii) sin C, cos C

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
Solution: In a given triangle ABC, right angled at B = ∠B = 90° Given: AB = 24 cm and BC = 7 cm According to the Pythagoras Theorem, In a right- angled triangle, the squares of the hypotenuse side is equal to the sum of the squares of the other two sides. By applying Pythagoras theorem, we get AC2=AB2+BC2 AC2 = (24)2+72 AC2 = (576+49) AC2 = 625cm2 AC = √625 = 25 Therefore, AC = 25 cm (i) To find Sin (A), Cos (A) We know that sine (or) Sin function is the equal to the ratio of length of the opposite side to the hypotenuse side. So it becomes Sin (A) = Opposite side /Hypotenuse = BC/AC = 7/25 Cosine or Cos function is equal to the ratio of the length of the adjacent side to the hypotenuse side and it becomes, Cos (A) = Adjacent side/Hypotenuse = AB/AC = 24/25 (ii) To find Sin (C), Cos (C) Sin (C) = AB/AC = 24/25 Cos (C) = BC/AC = 7/25

Think You Can Provide A Better Answer ?

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More