Find the values of the trigonometric functions of θ from the information given.
cos(θ) = 7/17, sin(θ) < 0

Step-by-step explanation:

The relationship between sine and cosine is ...

  sin² + cos² = 1

Solving for sine gives ...

  sin = ±√(1 -cos²)

In this problem, we want the negative root.

  sin(θ) = -√(1 -(7/17)²) = -√(240/289) = -(4√15)/17

  tan(θ) = sin(θ)/cos(θ) = ((-4√15)/17)/(7/17) = -(4√15)/7

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And the inverse functions are ...

  sec(θ) = 1/cos(θ) = 17/7

  csc(θ) = 1/sin(θ) = -17/(4√15) = -(17√15)/60

  cot(θ) = 1/tan(θ) = -(7√15)/60

Of course, you're aware that 1/√15 = (√15)/15.

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)