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Sin x + cos x =√2 sin x , then the value of tan x is

Sin x + cos x =√2 sin x , then the value of tan x is

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
576-844_1.PNG
Aditya Gupta
2081 Points
5 years ago
sin x + cos x =√2 sin x 
tanx+1=√2tanx
or tanx(√2-1)=1
or tanx= 1/(√2-1)
tanx= √2+1= tan(3pi/8)=tan(67.5deg)
 

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