First you do the exponents so 10^-3 is:
1/10^3 (change it so it is not a negative exponent, so make it its reciprocal)
1/(10*10*10) = 1/1000 = 0.001
Answer:
Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
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cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= - cosx - sinx
squaring to obtain cos² (120 + x)
= cos²x + sinxcosx + sin²x
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cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= - cosx + sinx
squaring to obtain cos²(120 - x)
= cos²x - sinxcosx + sin²x
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Putting it all together
cos²x + cos²x + sinxcosx + sin²x + cos²x - sinxcosx + sin²x
= cos²x + cos²x + sin²x
= cos²x + sin²x
= (cos²x + sin²x) =
Answer:
you can find angle E by
Step-by-step explanation:
sum of angles of traingle is 180 degree
Answer:
or
Step-by-step explanation:
Given
Required
The volume of the solid formed
Rotating about the x-axis.
Using the washer method to calculate the volume, we have:
Integrate
Substitute values for a, b, f(x) and g(x)
Evaluate the exponents
Simplify like terms
Factor out 8
Integrate
Substitute 2 and 0 for x, respectively
Take LCM
Simplify
or
So a right triangle is 90° and we have a 45° angle every triangle=180° so 90+43=133
180-133=47° the other angle is 47°