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Burka [1]
3 years ago
14

HELP HELP WILL MARK RIGHT AND FIRST ANWSSER BRANLIEST

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0
It should be option A! I hope this helps you!
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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

7 0
3 years ago
3. What is the perimeter of Patrick's<br> figure?
Rina8888 [55]
Answer : I need a graph or something
8 0
3 years ago
A father walks 36 miles in 12 hours while his son covers the same distance on a bicycle at twice the father's rate of speed. At
anygoal [31]

it would be d.)54 miles

5 0
3 years ago
Read 2 more answers
13. Which property is illustrated by the statement 3•1=3?
____ [38]

it's a I know this because I'm in the 8th

Step-by-step explanation:

it's a

5 0
2 years ago
A line with a slope of 1/4 passes through (-1,-4). Write the equation of the line in general form.
Assoli18 [71]

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/4

(-1,-4)...x = -1 and y = -4

now sub and find b, the y intercept

-4 = 1/4(-1) + b

-4 = -1/4 + b

-4 + 1/4 = b

-16/4 + 1/4 = b

-15/4 = b

so the equation in slope intercept form is : y = 1/4x - 15/4

but we need it in general form : Ax + By + C = 0

y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions

4y = x - 15......subtract  x and add 15 ...to both sides

4y - x + 15 = 0 <=== general form

4 0
3 years ago
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