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प्रश्न
For triangle ABC, show that: `sin (A + B)/2 = cos C/2`
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उत्तर
We know that for a triangle ΔABC
∠A + ∠B + ∠C = 180°
`(angleB + angleA)/2 = 90^circ - (angleC)/2`
`sin((A + B)/2) = sin(90^circ - C/2)`
= `cos(C/2)`
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