If #tan x=3#, what are sin x and cos x? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Alan P. Apr 16, 2015 If #tan(x) =3# then there are two possible configurations: from which it follows that #sin(x) = 3/sqrt(10)# or #sin(x) = -3/sqrt(10)# and #cos(x) = 1/sqrt(10)# or #cos(x) = -1/sqrt(10)# Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for #140^\circ#? How do you find the value of #cot 300^@#? What is the value of #sin -45^@#? How do you find the trigonometric functions of values that are greater than #360^@#? How do you use the reference angles to find #sin210cos330-tan 135#? How do you know if #sin 30 = sin 150#? How do you show that #(costheta)(sectheta) = 1# if #theta=pi/4#? See all questions in Trigonometric Functions of Any Angle Impact of this question 24782 views around the world You can reuse this answer Creative Commons License