Wednesday

July 23, 2014

July 23, 2014

Posted by **Sully** on Tuesday, November 29, 2011 at 2:36am.

- Calculus -
**Damon**, Tuesday, November 29, 2011 at 6:01amSketch a graph of the two functions between 0 and pi.

Note that cos x is above sin x only between x = 0 and x = pi/4

so

we have 5 times integral from 0 to pi/4 of cos x dx - sin x dx

cos x dx --> sin x 0 to pi/4 = .5 sqrt 2

sin x dx = -cos x 0 to pi/4= -.5sqrt 2 +1

cos x dx - sin x dx --> sqrt 2 - 1

times 5 = 5 sqrt 2 - 5

or about 7.07 - 5 = 2.07

**Related Questions**

Trig........ - I need to prove that the following is true. Thanks (cosx / 1-sinx...

Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...

Trigonometry Check - Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [...

calculus - Find an equation of the tangent line to the curve at y = cosx - sinx...

Trigonometry. - ( tanx/1-cotx )+ (cotx/1-tanx)= (1+secxcscx) Good one! ...

Math - Verify the identity . (cscX-cotX)^2=1-cosX/1+cosX _______ sorry i cant ...

Calculus - Find the area between y=cosx and y=sinx from 0 to 2pi. To find the ...

Math - Pre- Clac - Prove that each of these equations is an identity. A) (1 + ...

trigonometry - can i use factoring to simplify this trig identity? the problem ...

Calculus - Find the area cut off by x+y=3 from xy=2. I have proceeded as under: ...