Given that Sin(A) = 1/sqrt(3), show that Tan(A) = 1/sqrt(2)
Using: Tan(x) = Sin(x)/Cos(x)
Using: Cos(x) = sqrt(1-Sin2(x))
Cos(A) = sqrt(1-Sin2(A)) = sqrt(1-1/3) = sqrt(2)/sqrt(3)
Therefore: Tan(A) = Sin(A)/Cos(A) = (1/sqrt(3))/(sqrt(2)/sqrt(3)) = 1/sqrt(2)
SH
Related Maths A Level answers
All answers ▸How to integrate e^(5x) between the limits 0 and 1.
Solve e^x-6e^-x=1
The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 + 2x + 3. Given that (x-3) is a factor of f(x), express f(x) in factorised form.
What is the difference between mutually exclusive and indepedent events?