Monday

September 22, 2014

September 22, 2014

Posted by **MATHS** on Friday, June 10, 2011 at 7:18am.

(i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx

(ii) (1+cotx+tanx)(sinx-cosx)/sec^3x-cosec^3x = sin^2xcos^2x.

- TRIG.............. -
**Reiny**, Friday, June 10, 2011 at 7:50amwithout brackets the first one is much too ambiguous to attempt.

even the second one, I will fix so it works

LS = (1+cotx+tanx)(sinx-cosx)/(sec^3x-cosec^3x)

= (1 + cosx/sinx + sinx/cosx)(sinx-cosx)/(sec^3x-cosec^3x)

= sinx - cosx + cosx - cos^2x + sin^2x - sinx)/(1/cos^3x - 1/sin^3x)

= ((sin^2x/cosx - cos^2x/sinx)/((sin^3x - cos^3x)/(sin^3xcos^3x))

= (sin^3x - cos^3x)/(sinxcosx) (sin^3xcos^3x)/(sin^3-cos^3x)

= sin^2xcos^2x

= RS

**Answer this Question**

**Related Questions**

TRIGONOMETRY *(MATHS) - Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x...

Trigonometry - Prove the following trigonometric identities. please give a ...

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

Precalculus/Trig - I can't seem to prove these trig identities and would really ...

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

Math (trigonometric identities) - I was given 21 questions for homework and I ...

Simplifying with Trigonometry Identities - Hi, I am a senior in High School ...

Trig....... - I need to prove that the following is true. Thanks (2tanx /1-tan^x...

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...