Answer:
2
Step-by-step explanation:
Step 1. <em>Find a coterminal angle that falls be 0 and 2π.
</em>
Remember that cscθ is a periodic function. It repeats every 2π radians.
If n is an integer, cscθ = csc(θ ± 2πn)
csc(17π/6) = csc(12π/6 + 5π/6)
= csc(2π + 5π/6)
= csc(5π/6)
Step 2. <em>Use the unit circle to evaluate cscθ.
</em>
cscθ = 1/sinθ
Let θ = 5π/6
In a unit circle (below), the sine of an angle is y.
sinθ = ½
cscθ = 1/sinθ
= 1/(½)
= 2
Answer:
x = -3
y = 7
Step-by-step explanation:
x + 3y = 18
-3x - 12y = -75
multiply first equation by 4
4 × (x + 3y) = 18 ➡ 4x + 12y = 72
now add the two equations up
4x + 12y - 3x -12y = 72 - 75 (-12y will eliminate 12y)
x = -3
Answer:
Step-by-step explanation:
(0,2) (1,0)
Answer:
Pretty sure it's negative 3, cause then X would become -3X. Then when you would add 3X to both sides, it would cancel out both of the -3X then you would be left with 5 = 7, which we all know is not right.
Answer:
B. -√2/2.
Step-by-step explanation:
This is in the third quadrant so the sine will be negative.
The hypotenuse = √ [( -3)^2 + (-3)^2]
= √18 = 3√2.
Therefore the sine = -3 / 3√2.
= -1 / √2
= -√2/2..
