Answer:
1) - 2 / (cos x + sinx)^2.
Step-by-step explanation:
1) I assume you want the derivative of (cos x - sin x) / ( cos x + sin x).
y' = (cosx + sinx)( -sinx - cosx) - (cosx - sinx)(-sinx + cosx)
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(cosx + sinx)^2
= -sinxcosx - cos^2x - sin^2x - sinxcosx - (-sinxcosx+cos^2x+sin^2x-sinxcosx
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(cosx + sinx)^2
= -2sinxcosx - 1 - ( -2sinxcosx + 1 ) / (cosx + sinx)^2
= -2sinxcosx - 1 - ( -2sinxcosx + 1 ) / (cosx + sinx)^2
= - 2 / (cos x + sinx)^2.
Answer:
Angle 1: 127
Angle 2: 153
Step-by-step explanation:
First, let's find angle 1 by finding the angle that's supplementary to it.
To solve for it, we can set up an equation where the unknown angle and the other angles in the triangle it's in add up to 180:
x+95+32=180
x=53
Since angle 1 is supplementary to 53, that means that angle 1 is equal to 180-53 = 127.
Then, to find angle 2, we can find the angle that's supplementary to it.
To solve for that, we can set up an equation where that unknown angle and the other angles in the triangle it's in add up to 180:
26+127+x = 180
x = 27
Since angle 2 is supplementary to 27, that means that angle 2 is equal to 180-27 = 153.
Answer:a. (5 * 9) * (10^3 * 10^7)
45 * 10^3+7
45 * 10^10 = 4.5 * 10^11
b. 7 * 10^5/2 * 10^2
7 * 10^3/2
7 * 1000/2
7 * 500 = 3500 or 3.5 * 10^3
Step-by-step explanation:
14x if you you mean 23x - 9x then it's 14x but if you mean something else it's not 14x
Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
