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madam [21]
3 years ago
13

Find all solutions in the interval [0, 2π). tan x + sec x = 1

Mathematics
1 answer:
svp [43]3 years ago
6 0
Use the identity 
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x  = 1 + tan^2x - 2 tan x
0 = -2 tanx 

tan x = 0 

x =  0, π 
π is an extraneous root because sec 180 = -1 
So the answer  is 0 degrees
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Answer:0.625

Step-by-step explanation:

Given

There are two coins one is fair and another is bent

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If both coins are tossed once

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P=1-P(both\ heads)

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6 0
3 years ago
HELP POINTS A LOt! BRAINLIEST!
juin [17]

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2 years ago
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You will notice that the middle term is missing. This means that the middle term zeroes out as a result of having the same number of different signs (+ and -)

5 0
3 years ago
Patrick paid $12 for<br> 25 pounds of candy.<br> How much did each<br> pound of candy cost?
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7 0
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the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

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-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

for example: 

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Draw these 2 points, and join them with a line, as shown in the figure.

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