Question
Download Solution PDFIf cot \(A = {12 \over5}\), then the value of sin A = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cot \(A = {12 \over5}\)
Formula used:
(Hypotenuse)2 = (Perpendicular)2 + (Height)2
Calculations:
⇒ cot \(A ={Base\over Perpendicular}= {12 \over5}\)
⇒ Length of the perpendicular = 5
⇒ Lenth of the base = 12
Using the above formula,
⇒ (Hypotenuse)2 = (Perpendicular)2 + (Height)2
⇒ (Hypotenuse)2 = 52 + 132 = 25 + 144 = 169
⇒ Hypotenuse = \(\sqrt{169}\) = 13
⇒ Sin A = \(\frac{Perpendicular}{Hypotenuse }={5\over13}\)
⇒ Hence, Value of sin A is 5/13
Last updated on Jul 17, 2025
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