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Zolol [24]
3 years ago
9

Find all solutions to the following equation without a calculator: 2secx+2tanx=2. Step by Step

Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

At every 360°

EG. -360, 0, 360...

Step-by-step explanation:

SEE ATTACHMENT

Simplify the equation by dividing by 2.

Convert the equation so both terms have the same denominator - cos(x).

Multiply both sides by cos(x).

Looking at the graphs, where the top one is y = sin(x) and the bottom is y = cos(x), you can see that at every 360°, 1 + sin(x) = cos(x)

EG

1 + sin(-360) = cos(-360)

1 + 0 = 1

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Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)

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