(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
1 out of 4 I'm pretty sure
<span>A piecewise function uses different rules for different intervals of the DOMAIN</span>
0.05(0.85y)=5%(of the onsale dvd)
and a is just the on sale dvd (85%)
Answer:
6.5%
Step-by-step explanation:
Is means equals and of means multiply
Let P be the percent
P * 120 = 7.8
Divide each side by 120
P* 120/120 = 7.8/120
P = .065
Change to percent form
6.5%