Question
If sin2A = cos(A+24°), then what is the value of A?
Given that 2A 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 sin2A = cos(A+24°) Hence 2A + A+24° = 90° So 3A+24° = 90° or 3A =90°-24° =66° or A =
= 22°
The minimum value of 25 sin2 θ + 16 cos2 θ is
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