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How do you solve this question? The answer is B....................

How do you solve this question? The answer is B....................

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Grade:11

3 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
576-1736_1.PNG
Aditya Gupta
2081 Points
5 years ago
as uaual, saurabh’s answer is once again wrong. so lemme give u the correct answer. it comes as quite a surprise to me that he is a faculty!
A > 90
180 – (B+C) > 90
or B+C
B
since B lies in 0 to 90, and 0
now obviously tan is a strictly increasing function in 0 to 90. hence
tanB
or tanB
or tanBtanC
 
Aditya Gupta
2081 Points
5 years ago
technical error so answer didnt show up.
B is less than 90 – C
taking tan both sides coz it is a strictly increasing function in 0 to 90,
tanB is less than tan(90 – C)
tanB is less than cotC
tanB is less than 1/tanC
tanBtanC is less than 1

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