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Some Applications Of Trigonometry

Question
CBSEENMA10007940

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

Solution

tan2 30° + tan2 45° + cos2 60°
  equals space open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses squared plus left parenthesis 1 right parenthesis squared plus open parentheses 1 half close parentheses squared space equals space 1 third plus 1 plus 1 fourth
equals space fraction numerator 4 plus 12 plus 3 over denominator 12 end fraction equals 19 over 12.

Some More Questions From Some Applications of Trigonometry Chapter

In ΔABC, right angled at B. AB = 24 cm, BC = 7 cm. Determine:
(i) sin A cos A,
(ii) sin C, cos C.