What is the average rate of change from x = -3 to x = 3
1 answer:
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(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
For this , you use the distance formula
. based on the graph, use points (0,6) and (7,-2), plug them into the formula to get
and you get B, 10.63
. based on the graph, use points (0,6) and (7,-2), plug them into the formula to get
and you get B, 10.63