(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:
A) The circumcenter of a right triangle falls on the side opposite the right angle
B) The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides
D.) The circumcenter is equidistant from (Apex)
Step-by-step explanation:
Answer:
p = - 5i or p = 5i
Step-by-step explanation:
Noting 
= i
Given
p² = - 25 ( take the square root of both sides )
p = ± 
= ± 
= ± 5i
Thus
p = - 5i or p = 5i
The correct answer would be
A football pass of 9 yards
Answer:
Answer: -3/2
Step-by-step explanation:
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