If sec²70º – cot²20º / 2(cosec²59º – tan² 31º) =2/m, then m is equal to :

  1. 4
  2. 2
  3. 1
  4. 3
Anurag Mishra Professor Asked on 27th December 2015 in Maths.
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1 Answer(s)

Answer: (1) 4  

Explanation:-
sec²70º – cot²20º / 2(cosec²59º – tan² 31º) =2/m
sec²70º – cot²(90 – 70)/2{cosec²59º – tan²(90 – 59) = 2/m
(sec²70º – tan² 70º)/2{cosec²59º – cot²59º} = 2/m
1/2 = 2/m
by cross multiplication,
m = 4

Then, the value of m is 4.

Hence, the correct answer is option (1) 4.

Anurag Mishra Professor Answered on 27th December 2015.
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