Answer:
B. Cosecant is the reciprocal of sine
Step-by-step explanation:
Well, this is where you have to remember your reciprocal identities in your trigonometric identities!
So:
- Cosecant is the reciprocal of sine
- Secant is the reciprocal of cosine
- Cotangent is the reciprocal of tangent
How I remember them is just the co is with the non-co (cosecant with sine (no co there) and cosine with secant. Tangent with cotangent is pretty easy to remember.)
I'll attach a picture for trig identities! Let me know if you have any further questions :)
Answer:
A
Step-by-step explanation:
Using PEMDAS you start with multiplication first, so -2 multiplied by -6, which is positive 12. Then you go from left to right, so 4 +-3, or 4-3, which is 1. Then 1-12 is -11. So your final answer is A, -11.
Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4