Questions on Trigonometry 28 Aug 2012 (Post Evening)
Question for practice
The following questions are more helpful for class tenth students for all boards.
Questions 20. If tanA = 2- root(3), then what is value of tan(90 - A).
Submit your answer here in the comments or wait for answer
The following questions are more helpful for class tenth students for all boards.
Questions 20. If tanA = 2- root(3), then what is value of tan(90 - A).
Submit your answer here in the comments or wait for answer
Ans.
ReplyDeleteTan(90-A) = Cot A
also, Cot A = 1/ Tan A
Tan A = 2-root(3)
so, Cot A = 1/ 2-root(3)
therefore, Tan(90-A) = 1/ 2-root(3)
tan(90-A)=cotA= 1/tanA
ReplyDeletetan(90-A)= 1/tanA
tan(90-A)=1/2-root(3)
tan(90-A) = cot A
ReplyDeletecot A = 1/tan A
therefore, 1/ 2-root(3)
rationalizing, 1/2-root(3) * 2+root(3)/2+root(3)
==> 2+root(3)/4-3
so . answer = 2+root(3) :P
tan (90-a)=cota
ReplyDeletecota= 1/tana
=1/2-root 3
=2-root 3