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storchak [24]
2 years ago
7

IF YOU ANSWER THIS QUESTION CORRECTLY I GIVE BRAIN AND I GIVE HEARTS AND 5 STARS

Mathematics
1 answer:
natima [27]2 years ago
3 0

Answer:

Okay!

Step-by-step explanation:

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Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
iVinArrow [24]

Answer:

The answer is below

Step-by-step explanation:

We need to prove that:

(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.

Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.

Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A

\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA

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3 years ago
The cost of staying one night at a hotel in amber city is $59. The cost of staying one night at a hotel in bear lake is $159. Fi
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If you stay in amber city you waste $295 but if you go to bear lake your wasting around $795 so your saving $500
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Which equation has infinitely many solutions?
Umnica [9.8K]

Answer: B

Step-by-step explanation:

\dfrac{10x+8}{2} =5x+4\ cross\ products\\\\10x+8=10x+8\\\\0x=0\\

Every real is solution of the equation .

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Here is another 100 point give away, remember wear a mask wash your hands for 20 seconds or more and mainly have a great day
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