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1. ### Prove each of the following. Use proper LHS / RHS format for full marks. 1. cosθcotθ= 1/sinθ -sinθ 2. 1+cotθ/ cscθ = sinθ+ cosθ?

Here's the first as an example of the layout: LHS = cosθcotθ = cosθ * cosθ/sinθ ... because cotθ = 1/tanθ = cos^2θ / sinθ = (1 - sin...

1 Answers · Science & Mathematics · 28/01/2015

2. ### Simplify the LHS of the identity?

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3 Answers · Science & Mathematics · 11/08/2014

3. ### Severe front end wobble - 1997 Chrysler LHS - What is it?

Have both axles inspected for excessive wear and also the hub bearings by the wheels. Secondly, have the tires rebalanced. Don't care how old they are. Third, replace the left front strut assembly. The...

3 Answers · Cars & Transportation · 23/10/2007

4. ### Prove that the LHS equals the RHS: (sinx + sin2x) / (1 + cosx + cos2x) = tanx?

sin x + sin 2x = sin x + 2 sin x cos x = sin x (1 + 2 cos x) 1 + cos x + cos 2x = 1 + cos x + (2cos^2 x - 1) = cos x + 2 cos^2 x = cos x (1 + 2 cos x) ∴ (sin x + sin 2x)/(1 + cos x + cos 2x) = sin x(1 + 2 cos x)/[cos x(1 + 2 cos x)] = sin x/cos x = tan x. Note that the double-angle identities for sine and cosine were...

3 Answers · Science & Mathematics · 25/05/2012

5. ### Prove that the LHS equals the RHS: (cosx - cosy) = -2sin[(x+y)/2] * sin [(x-y)/2] thanks?

Expand the RHS -2[sin(x/2)cos(y/2)+sin(y/2)cos(x/2)][sin(x/2)cos(y/2)-sin(y/2)cos(x/2)]=-2[sin^2(x/2cos^2(y/2)-sin^2(y/2)cos^2(x/2)] using difference of two squares change the cos^2(y/2)=1-sin^2(y/2) and cos^2(x/2)=(1-sin^2x/2) to obtain -2(sin^2(x/2)-sin^2(y/2)) convert the sin^2(x/2) and sin^2(y/2) to the double...

1 Answers · Science & Mathematics · 20/06/2013

6. ### HELP SOLVING THESE TRIG. IDENTITIES PLEASE I BEG OF YOU BBY?

9) LHS = cos ( x + y - y ) LHS = cos... LHS = sin x - ( sin y / cos y )*cos x LHS = (sin x cos y - sin y cos x ) / cos...2 x cos^2 y - sin^2 x sin^2 y ) LHS = ( sin^2 x - sin^2 x sin^2 y - sin...

2 Answers · Science & Mathematics · 18/04/2013

7. ### 6sin^4 x= 17 cos^2 x +11?

Doubtful, if this is possible. I would present it on the mathematics category for a firm answer.

1 Answers · Science & Mathematics · 13/11/2012

8. ### Trig identity problem?

LHS = ( sin x + sin 3x) / ( cos x + cos 3x ) LHS = 2 sin ( 2x) cos (x) / 2 cos (2x ) cos ( x ) LHS = tan 2x LHS = RHS QED

1 Answers · Science & Mathematics · 03/05/2013

9. ### Sin2x/(sinx) - cos2x/(cos x)?

Since cos^2(x)=(1+cos2x)/2 so we obtain cos2x=2cos^(x)-1 also we know sin2x=2sin(x)cos(x) now if we put these things in what u have writen we will have [(2sin(x)cos(x)]/sin(x) - (2cos^(x)-1)/cos(x) = 2cos(x)-2cos(x)+ (1/cos(x))=sec(x)

2 Answers · Science & Mathematics · 10/11/2012

10. ### Trig identity question.?

LHS = 1 + tan^2 x LHS = (cos^2 x + sin^2 x) / cos^2 x LHS = 1 / cos^2 x LHS = RHS QED

3 Answers · Science & Mathematics · 25/11/2009

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