if cos=a/b then sin x is equal to:
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Answered by
0
the question is wrong it is sin^2x
Step-by-step explanation:
cos=a/b
sin^2 = 1 - cos^2 x
=1 - (a/b)^2
=1 - a^2/b^2
=b^2 - a^2/ b^2
Answered by
2
Concept:
sin² x + cos² x = 1
Given:
We are given that:
cos θ = a / b
Find:
We need to find the value of sin θ.
Solution:
We know that:
cos = a / b
Also, we know the property that is:
sin² x + cos² x = 1
Using this, we get that:
sin² θ = 1 - cos² θ
sin² θ = 1 - (a / b)²
sin² θ = 1 - a² / b²
sin² θ = (b² - a²) / b²
sin θ = √(b² - a²) / b
Therefore, we get the value of sin θ as (b² - a²) / b.
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