Exercise - 8.1
If in a right angled triangle ABC, ZB is a right angle; then find the value of sin A, cos C and
tan A.
Given:-
AC=5 AB=3 BC=4
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Step-by-step explanation:
Introduction to Trigonometry
Question-1 :- In Δ ABC, right-angled at B, AB = 24 cm, BC = 7 cm.
Determine : (i) sin A, cos A (ii) sin C, cos C
Solution :-
Given :
In Δ ABC, right-angled at B, AB = 24 cm, BC = 7 cm, AC = ?
By Pythagoras Theorem :
AC² = AB² + BC²
= (24)² + (7)²
= 576 + 49
= 625
AC = 25 cm
NCERT Math
(i) sin A, cos A
sin A = BC/AC = 7/25
cos A = AB/AC = 24/25
(ii) sin C, cos C
sin C = AB/AC = 24/25
cos C = BC/AC = 7/25
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