SOLUTION: In a right triangle you know that the sine of one angle is 4/5 . Find the cosine and tangent of this angle.

Question 302858: In a right triangle you know that the sine of one angle is 4/5 . Find the cosine and tangent of this angle.
Answer by london maths tutor(243) (Show Source): You can put this solution on YOUR website!
Let's the angle be x
sin x =
This shows that the side opposite angle x is 4 and the longest side of the triangle is 5.
This means the missing length should be 3.
Using Pythagoras Theorem, 5^2 = (4^2 + ?^2)
25 = 16 + ?^2
? = sqrt( 25 - 16)
? = sqrt (9)
? = 3 ( hence shown )
tan x =
cos x =

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