Thursday

July 24, 2014

July 24, 2014

Posted by **lungisile ntobela** on Sunday, January 22, 2012 at 4:10pm.

- math -
**Steve**, Sunday, January 22, 2012 at 5:16pmI think there's a typo in your equation. For example , plug in A = pi/4. You then have

(0 + 1/√2)/(1 - 1/√2) = (0+1)/(1/√2)

1/√2 *√2 /(√2 - 1) = √2

1/(√2-1) = √2

√2+1 = √2

However, if you fix the right side to read (cosA+1)/sinA

you have the left side:

(cos^2 A - sin^2 A + cosA)/(2sinAcosA - sinA)

(cos^2 A - (1 - cos^2 A) + cosA)/(2sinAcosA - sinA)

(2cos^2 A + cosA - 1)/[sinA(2cosA - 1)

(2cosA-1)(cosA - 1)/[(2cosA - 1)(sinA)]

(cosA -1)/sinA

Now if you plug in any angle, the equality holds.

**Related Questions**

trig - Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

trig - Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

further Mathematics - Let A=(cosA -sinA) (sinA cosA) show that A^2=(cos2A sin2A...

MathS triG - 1 .If tanA=1/3 and tanB=1/7 (both A and B are acute),calculate ...

maths Pls help trig - 1 .If tanA=1/3 and tanB=1/7 (both A and B are acute),...

precal- PLEASE HELP! - Given:cosA= 4/5 0(less than or equal to)A(less than of ...

Maths - Hi, can someone give me the answer to this question: secA-tanA=1/4. Find...

trig - if 5cos A plus 3=0 and 180<A<360..without using a calculator and ...

further mathematics - Let P=(cosA sinA) (sinA cosA) Q=(cosB sinA) (sinB cosA) ...

math - if A+B+C=180degrees, prove that 2sin(B+C)sinA=1-cos2A