Find The Numerical Value ? If

The numerical value of
cos245o/sin260o + cos260o/sin245o – tan230o/cot245o – Sin230o/cot230o

  1. 5/4
  2. 1/4
  3. 3/4
  4. 1/2
Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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Best answer

Answer: (3) 3/ 4

Explanation:-
cos245o/sin260o + cos260o/sin245o – tan230o/cot245o – Sin230o/cot230o
= (1/sqrt.2)2 / (sqrt.3/2)2 + (1/2)2/ (1/sqrt.2)2 – (1/sqrt.3)2 /(1)2 – (1/2)2/(sqrt.3)2

= (1/2)/(3/4) + (1/4)/(1/2) – (1/3)/1 – (1/4)/(3)
= 1 x 4/2 x 3 + 1 x 2/1 x 4 – 1 x 1/3 – 1/ 4 x 3
= 2/3 + 1/ 2 – 1/ 3 – 1/ 12
= (2 x 4 + 1 x 6 – 1 x 4 – 1 x 1)/12
= (8 + 6 – 4 – 1)/12
= (14 – 5)/12
= 9 / 12
= 3 / 4
Hence, the answer is (3) 3 / 4.

Anurag Mishra Professor Answered on 13th August 2015.
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