Saturday

April 19, 2014

April 19, 2014

Posted by **marley** on Wednesday, June 8, 2011 at 11:52am.

- maths (trigonometry) -
**Reiny**, Wednesday, June 8, 2011 at 12:36pm√2sinx + sinx = cosx

sinx(√2+1)= cosx

sinx/cosx = 1/(√2+1)

tanx = 1/(√2+1)

now construct a right-angled triange with sides 1 and √2+1

let the hypotenuse be r

r^2 = 1^2 + (√2+1)^2 = 1 + 2 + 2√2 + 1 = 4 + 2√2

r = √(4+2√2))

cosx + sinx = (√2+1)√(4+2√2) + 1/(√(4+2√2)

= (√2 + 2)/(√(4 + 2√2)

You might want to rationalize this to get a different looking answer.

**Related Questions**

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

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

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

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

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

maths - trigonometry - I've asked about this same question before, and someone ...

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

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

Mathematics - Trigonometric Identities - Prove: (tanx)(sinx) / (tanx) + (sinx...

trigonometry - how do i simplify (secx - cosx) / sinx? i tried splitting the ...