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if tan x . tan 2x = 1 then the value of sin^2 (2x)+ tan^2 (2x) is equal to 3/4 10/3 15/4 3

if tan x . tan 2x = 1 then the value of
sin^2 (2x)+ tan^2 (2x) is equal to
3/4
10/3
15/4
3

Grade:

3 Answers

Vishal Kamalakannan
30 Points
9 years ago

tanx.tan2x=1

expand tan2x and take denominator to the other side.

u will get tanx =1/1.732 which implies x=30 deg.

so substitute the value in the given expression to get the answer.

 

mahdi
20 Points
6 years ago
tanx tan2x=1tan2x=1/tan
mahdi
20 Points
6 years ago
tanx tan2x=1
tan2x=1/tanx
tan2x=cotx
tan2x=tan(π/2-x)
2x=kπ+π/2-x
x=kπ/3+π/6

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