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Question
In right angled triangle ΔABC at B, ∠A = ∠C. Find the values of Sin A cos C + Cos A Sin C
Solution
In Δle ABC ∠A + ∠B + ∠C = 180°
∠A + 90° + ∠A = 180°
2∠A = 90°
∠A = 45°
∴ ∠A = 45° ....(1)
Adding ∠A value in equation Sin A cos C + Cos A Sin C
Sin 45° cos 45° + cos 45° sin 45°
`1/sqrt2 . 1/sqrt2 + 1/sqrt2. 1/sqrt2 = 1/2.1/2 = 1`
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