(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
To solve this, find the rest of the sides:
The other sides are:
1. 24 - 8 = 16
2. 23 - 9 = 14
Next, just add it up:
24 + 9 + 16 + 14 + 8 + 23 = 33 + 30 + 31 = 94
Answer:
the answer is B
Step-by-step explanation:
We call the ratio between two directly proportional quantities the constant of proportionality. When two quantities are directly proportional, they increase and decrease at the same rate. While these two quantities may increase or decrease, the constant of proportionality always remains the same.
Answer:
38 and 57
Step-by-step explanation:
