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-BARSIC- [3]
2 years ago
9

How do I simplify (tanx/1+secx) + (1+secx/tanx)

Mathematics
1 answer:
Ket [755]2 years ago
8 0
Tan x /(1 +sec x) + (1+sec x) /tan x

Tan x=sin x / cos x
1+ sec x=1 +1/cos x=(cos x+1)/cos x

Therefore:
tan x /(1 +sec x) =(sin x/cos x)/(cos x+1)/cos x=
=(sin x * cos x) / [cos x* (cos x+1)]=sin x /(Cos x+1)

(1+sec x) /tan x=[(cos x+1)/cos x] / (sin x/cos x)=
=[cos x(cos x+1)]/(sin x *cos x)=(cos x+1)/sin x

tan x /(1 +sec x) + (1+sec x) /tan x=
=sin x /(Cos x+1) + (cos x+1)/sin x=
=(sin²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=

Remember: sin²x+cos²x=1⇒ sin²x=1-cos²x

=(1-cos²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=
=2 cos x+2 /  [sin x(cos x+1)]=
=2(cos x+1) /  [sin x(cos x+1)]=
=2 /sin x

Answer : tan x /(1 +sec x) + (1+sec x) /tan x= 2/sin x
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Answer:

D. 98 ft.^2

Step-by-step explanation:

A= b*h

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=104 ft.^2

Because there is a piece missing, we know it must be under 104 ft.^2. They didn't give us enough information to find the complete area of the missing triangle, so I used the process of elimination. With the responses given and this information, we can assume that the answer is 98 ft.^2.

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3 years ago
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m = 2, (0, –2) Im 90% sure

6 0
3 years ago
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Answer: Its (A)

Step-by-step explanation:

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2 years ago
What is 89 divided by 6 in long division and how would u show ur work?
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1 4 . 8 3333
6 8 9 50

14.8333
3 0
3 years ago
Bianca’s Bike Shop made a profit of $54,000 last year. This year, the profits were 250% of last year’s. How much profit did Bian
Alexandra [31]
Since the percent increase is bigger than 100%, it definitely has to be more than 54,000.

so let's break this down:
250%= 100% + 100% + 50%

we know 100% is the whole price so if there are 2 100% we have to multiply the price by two!!!
54,000•2 = 108,000

now, 50% is half of the whole price, divide the price by two:
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so add your results and you will get this!
108,000+27,000= 135,000
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