Answer :
sin 80° – cos 70° = cos 50°
⇒ sin 80° = cos 50° + cos 70°
Take RHS:
cos 50° + cos 70°
= 2 cos 60° cos (-10°)
{cos (-A) = cos A}
= cos 10°
= cos (90° - 80°)
{cos (90° - A) = sin A}
= sin 80°
= L.H.S
Hence Proved
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