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CBSE Class 10 Answered

Page 405 Question 12 Evaluate: sin 30° cos 45°  + cos 30° sin 45° cos 30° cos 45°  - sin 30° sin 45° tan2 60° + 4 cos2 45° + 3 sec2 30° + 5 cos2 90° 4 cot2 45°- sec2 60° + sin2 60° + cos2 90°
Asked by miniprasad | 23 Oct, 2018, 09:55: PM
answered-by-expert Expert Answer
begin mathsize 16px style sin 30 degree cos 45 degree plus cos 30 degree sin 45 degree
equals 1 half cross times fraction numerator 1 over denominator square root of 2 end fraction plus fraction numerator square root of 3 over denominator 2 end fraction cross times fraction numerator 1 over denominator square root of 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space sin space 30 degree equals 1 half comma space cos space 45 degree equals sin space 45 degree equals fraction numerator 1 over denominator square root of 2 end fraction comma cos space 30 degree equals fraction numerator square root of 3 over denominator 2 end fraction
equals fraction numerator 1 plus square root of 3 over denominator 2 square root of 2 end fraction
equals fraction numerator 1 plus square root of 3 over denominator 2 square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction
equals fraction numerator square root of 2 open parentheses 1 plus square root of 3 close parentheses over denominator 4 end fraction end style
 
 
 
 
 
 
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