SOLUTION: Find all real numbers in the interval [0,2pi] that satisfy the equation
tan x sec x = sqrt2
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Question 766713: Find all real numbers in the interval [0,2pi] that satisfy the equation
tan x sec x = sqrt2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all real numbers in the interval [0,2pi] that satisfy the equation
tan x sec x = sqrt2
sin(x)=√2-√2sin^2(x)
√2sin^2(x)+sin(x)-√2=0
solve for sin(x) using quadratic formula:
a=√2, b=1, c=-√2
ans:
sin(x)=-√2 (reject, -1≤sin(x) ≤ 1)
or
sin(x)=√2/2
x=π/4, 3π/4
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