Question
If sin5A = cos(2A+20Ā°), then what is the value of A?
Given that 5A is an acute angle.Solution
Always remember that sin & cos are compliment to each other So sin ɵ = cos( 90-ɵ) So it is given that sin5A = cos(2A+20Ā°) Hence 5A + 2A + 20Ā° = 90Ā° So 7A + 20Ā° = 90Ā° or 7A =90Ā°-20Ā° = 70Ā° or A =Ā 
= 10Ā°
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