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In Right Angled Triangle δAbc at B, ∠A = ∠C. Find the Values Of Sin a Cos C + Cos a Sin C - CBSE Class 10 - Mathematics

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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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Solution In Right Angled Triangle δAbc at B, ∠A = ∠C. Find the Values Of Sin a Cos C + Cos a Sin C Concept: Trigonometric Ratios of an Acute Angle of a Right-angled Triangle.
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