2/3 of all your books are fiction. 1/6 of those are historical fiction. What fraction of all your books are historical fiction?
2 answers:
You might be interested in
Question:
If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.
Answer:
Step-by-step explanation:
Given
cos(θ) =-8/17
Required
sin(θ) = __
tan(θ) =__
The first step is to determine the length of the third side
Given that
Where Adj and Hyp represent Adjacent and Hypotenuse
By comparison
Using Pythagoras
By Substitution
Subtract 64 from both sides
Take square roots of both sides
The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such
From trigonometry
Also from trigonometry