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##b=1.76## ##c=10.15## Using your data we can plot the following triangle: Using trigonometry we have: ##b/a=tan(10^o)## with ##a=10## ##b=1.76## Also: ##a=c*cos(10^o)## ##c=10.15##

Since ##cos2x=cos^2x-sin^2x=1-2sin^2x=2cos^2x-1## and ##sin2x=2sinxcosx## then: ##(1+2cos^2x-1)/(2sinxcosx)=cotxrArr## ##(2cos^2x)/(2sinxcosx)=cotxrArr## ##cosx/sinx=cotxrArr## ##cotx=cotx##.

Draw a diagram to represent the question: Assuming x represents the length of the first side. Use to solve: ##a^2## + ##b^2## = ##c^2## ##x^2## + […]

The segment addition postulate states that if point ##B## lies on a line segment ##AC## then ##AB +BC = AC##. Example: Prove that XY has a […]

Area of the rectangle ##=55125 sqft## Length of the rectangle ##l=315## and width ##w=175## So Area of the rectangle ##=l timesw=315times 175=55125 sqft##

Use the . The distance formula is made to find the distance between two points and you just have to use it three times in the […]

Apply the angle-sum identity for cosine to ##cos(x+x)##. The identity needed is the angle-sum identity for cosine. ##cos(alpha + beta) = cos(alpha)cos(beta) – sin(alpha)sin(beta)## With that […]

Circumference##=48pi## meters The circumference of circle is calculated by the formula: ##Circumference=2pir## So if ##radius=r=24## meters ##Circumference=2picolor(red)((24))=48pi## meters

sin 3x = 0 ##a. sin 3x = 0 = sin 0 -> x = 0## ##b. sin 3x = 0 = sin pi -> 3x […]