Sin 470 + Sin 610 – Sin 110 – Sin 250 is Equal To

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Question

sin 47⁰ + sin 61⁰ – sin 11⁰ – sin 25⁰ is equal to

easy

Solution

Correct option is

cos 7⁰

The given expression is equal to

(sin 47⁰ + sin 61⁰) – (sin 11⁰ + sin 25⁰)

= 2 sin 54⁰ cos 7⁰ – 2 sin 18⁰ cos 7⁰

= 2 cos 7⁰ (sin 54⁰ – sin 18⁰

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