Answer:
-1/3
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the 2 points:
(y2 - y1) / (x2 - x1)
(-2 + 1) / (2 + 1)
-1/3
So, the slope is -1/3
155
Just add the angles up.
First you subtract 1/3 from both sides, that leaves you with 5/12, then you multiply the reciprocal of 1/2 by both sides, which is 2, which gives you 5/6. Therefore, K>5/6
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified