(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
Answer:
Conjugate radicals.
Step-by-step explanation:
The two roots a+sqrb and a-sqr b are called conjugate radicals.
Answer:
1.72973 oz/serving. Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag." But the problem states "exactly."
Step-by-step explanation:
We want oz/serving, so let's convert the pounds of rice to total ounces of rice:
We are told that 16 oz = 1 pound. Make that a conversion factor: (16 oz/1 pound)
(4 pounds)*((16 oz/1 pound) = 64 ounces
We are told that 4 pounds (64 ounces) makes 37 servings. So:
(64 ounces)/(37 servings) = 1.72973 oz/serving
Answer:
i think 2x
Step-by-step explanation:
It's likely that the event will occur.