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Some Applications Of Trigonometry

Question
CBSEENMA10007956

Evaluate:
sin2 30° + 2 cos2 60° + tan2 45°

Solution

sin2 30° + 2 cos2 60° + tan2 45°
space equals space open parentheses 1 half close parentheses squared plus 2 open parentheses 1 half close parentheses squared plus left parenthesis 1 right parenthesis squared
space equals space 1 fourth plus 2 cross times 1 fourth plus 1 space equals space 1 fourth plus 1 half plus 1 space equals space fraction numerator 1 plus 2 plus 4 over denominator 4 end fraction equals 7 over 4.

Some More Questions From Some Applications of Trigonometry Chapter