The value of (tan 13° tan 37° tan 45° tan 53° tan 77°)/[2 cosec260(cos260° - 3cos 60° + 2)] is:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 1/2
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Concept |
Understanding |
Application |
Fair calculation |
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If A + B = 90 tanA × tanB = 1 |
Putting the values: Cosec 60 = 2/3 Cos 60 = ½ Tan 45 = 1 |
Here, tan13 × tan 77 = 1 tan 37 × tan 53 = 1 ⇒ 12 ×4314-32+2 = 12 ×43 ×34 = 1/2 |
12 ×4314-32+2 ⇒ 12 ×4314+12 ⇒ 12 ×43 ×34 ⇒ 1/2 |