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Aleks [24]
2 years ago
11

Prove that SinA×tanA/1-CosA=1+secA​

Mathematics
2 answers:
MariettaO [177]2 years ago
8 0

Answer:

Below.

Step-by-step explanation:

SinA×tanA/1-CosA

As tanA = sinA / cos A we have

sin^2A / cosA(1 - cosA)

= (1 - cos^2A) /  cosA(1 - cosA)

= (1 - cosA)(1 + cosA) / cosA(1 - cosA)

= (1 + cosA) /cos A

= 1 + 1/cosA

= 1 + secA.

=

Bad White [126]2 years ago
3 0

answer in the image....

hope it helps!!

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A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

5c+7s+12a=2808

We also know that the children attendance doubles the adult attendance:

c=2a

The third equation is the seating capacity, which we assume is full:

c+s+a=387

We start by replacing variables in two of the equations:

c=2a\\\\s=387-c-a=387-2a-a=387-3a

Then, we solve the remaining equation for a:

5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99

Then, we solve for the other two equations:

c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90

The attendance was 198 children, 90 students and 99 adults.

8 0
3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is
Delvig [45]

Answer:

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6 0
2 years ago
The 7% sales tax on a new $32,000 car.<br>​
Rama09 [41]

Answer:

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Step-by-step explanation:

7% of $32,000 is $2,240

$32,000+$2,240=$34,240

6 0
3 years ago
Find the average of these numbers to the nearest whole number. 516,497,501,528,476
defon

516+497+501+528+476= 2518

2518/5= 503.6

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5 0
3 years ago
The Greenville city soccer league has 1,230 players. Spruceburgh's league has 3 times as many players as the Greenville league.
Nimfa-mama [501]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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