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In a right angle triangle ABC with right angle at B, in which a = 24 units, b = 25 units and ∠BAC = θ. Then, find cosθ and tanθ.
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Answer:
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Step-by-step explanation:
Given that,
In Right angle triangle
b = 25units, a = 24units
∠ABC=90°, ∠BAC=∅
By above we get,
AC = hypotenuse = 25units
BC = side opposite to ∠∅ = 24units
By applying Pythagoras theorem we get
AB = side adjacent to angle theta = 7units
Now we have,
cos∅ = side adjacent to ∠∅/hypotenuse
cos∅= 7/25
tan∅ = side opposite to ∠∅/side adjacent to ∠∅
Hence cos(theta) = 7/25
and tan(theta) = 24/25
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