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elena-s [515]
3 years ago
13

Prove the trig identity: (tanx/1+secx)+(1+secx/tanx)=2cscx

Mathematics
1 answer:
lakkis [162]3 years ago
7 0
=[(sinx/cosx)/(1+1/cosx)] + [(1+1/cosx)/(sinx/cosx)]

=[(sinx/cosx)/(cosx+1/cosx)]+[(cosx+1/cosx)/(sinx/cosx)]

= [sinx/(cosx+1)] + [(cosx+1)/sinx]

= [sin^2x+(cosx+1)^2] / [sinx (cosx+1)]

= [2+2cosx] / [sinx(cosx+1)]

=[2(cosx+1)] / [sinx (cosx+1)]

= 2/sinx

= 2 cscx

(I think this will be helpful for you. if you can see the picture, it has more detail in it.)

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2 years ago
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gladu [14]

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Step-by-step explanation:

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3 years ago
I found a place that will give me a 20 percent discount if i spend over 50 dollars. My bill is 75 dollars. How much money will i
const2013 [10]
X of 20% = y
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x * 20/100 = y
x * 0.2 = y
replace y with 0.2x in other equation

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Check:
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6 0
3 years ago
Please help me answer #4, #5 and #6
Salsk061 [2.6K]

Answer:

4). The Washington Monument is 169.2-m tall.

Step-by-step explanation:

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Answer:

5). The pond is 180ft wide.

Step-by-step explanation:

5). We know this because...

90       120

-----  = -------

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We then know to cross-multiply to get:

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Answer:

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Step-by-step explanation:

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----------  =  --------  = -----

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7 0
2 years ago
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Elden [556K]
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6 0
3 years ago
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