Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the statements below, simplify all ratios and keep them as improper fractions. If cos(θ) = and sin(θ) is negative, then sin(θ) = and tan(θ) = .

Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___  and tan(θ) =___.

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

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: