tan A =10÷26 find sin A
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Sine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle. Before getting stuck into the functions, it helps to give a name to each side of a right triangle:
Step-by-step explanation:
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Answer:
Sin A = 10/ 2√194
Step-by-step explanation:
Tan A = Perpendicular/ Base = 10/26
In ∠ABC,
Right angle at B
Perpendicular = CB = 10
Base = AB = 26
Hypotenuse = AB = ?
By Pythagoras Theorem
AC² = AB² + CB²
=> AB² = 26² + 10²
=> AB² = 676 + 100
=> AB² = 776
=> AB = √776
AB = 2√194
Hypotenuse = 2√194
Sin A = Perpendicular/ Hypotenuse = 10/ 2√194
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