Consider a triangle ABC right angled at B,if tan A= 1/√3, find the value of sin A cos C + cos A sin C.
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Answer:
The answer is 1.
Step-by-step explanation:
Given,
ABC is a right triangle,
In which ∠B = 90°
tan A = 1/√3
⇒ ∠A = 30°
We know that,
The sum of all interior angles of a triangle is supplementary,
⇒ ∠A + ∠B + ∠C = 180°
⇒ 30° + 90° + ∠C = 180° ⇒ ∠C = 180° - 120° = 60°
Thus,
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Answer:1
Step-by-step explanation:
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