# math

prove alfa+Bita=90 degree,show the maximum value of cos alfa cos bita is 1/2.

1. 👍 0
2. 👎 0
3. 👁 153
1. that's alpha and beta.
I'll use x and y for ease of typing.

since the angles are complementary, cos(x) = sin(y)

cos(x)*cos(y)
= sin(y)*cos(y)
= 1/2 sin(2y)

since sin has maximum value of 1, ...

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### math

If alfa and bita are the zeroes of x square plus px plus of then find the value of alfa divids bita plus 2 whole bita divids alfa plus 2?

asked by Dwithun Basumatary on June 26, 2013
2. ### math trigo

alfa+bita = thita & tan x ratio tan y= x ratio y then prove that sin alfa- bita = x- y ratio x+y sinthita

asked by mehnaj on June 14, 2016
3. ### math

If alfa and bita are zeroes of poly x square minus 3x plus 2 then find the value of alfa square plus bita square?

asked by Dwithun Basumatary on June 26, 2013
4. ### maths

a ladder rests against a wall at an angle alpha to the horizontal its foot is pulled away from the wall through a distance a so it slides at bita making an angle bita with the horizontal show that a upon b=cos alpha-cos bita upon

asked by anurag on January 9, 2012
5. ### trig

GIVEN THE ANGEL ALFA WITH COS ALFA = -1/a. IF ALFA IN QUADRANT TWO, THE VALUE OF SIN ALFA IS....

asked by nik on April 10, 2013
6. ### maths (trigonometry)

sin(alpha-bita)=1/2 and cos(alpha+bita)=1/2, where alpha and bita are positive acute angles then what is the value of alpha and bita

asked by akshar on June 6, 2011
7. ### math

(1)given that -2x^2+6x+7=0, if alfa and B are the roots of the equation, form new equation whose roots are(a)alfa/B and B/alfa (b)alfa/B^2and B/alfa^2(b) if alfa and B are the roots of the equation 4x^+8x-1=0. find the values of

asked by john on January 22, 2016
8. ### math-trigon.

[1-sin^2(alfa+beta)]/cos^2(alfa+beta)

asked by lisa on July 8, 2011
9. ### Physics

A box of textbooks of mass 25.3 kg rests on a loading ramp that makes an angle (ALFA) with the horizontal. The coefficient of kinetic friction is 0.260 and the coefficient of static friction is 0.330 . A) As the angle (ALFA) is

asked by Jasijo on November 18, 2006
10. ### maths

if alpha and bita are the zeros of polynomial p(x=3xsquare+2x+1,find the polynomial whose zeros are 1-alpha/1+alpha and 1-bita/1+bita

asked by Anonymous on September 20, 2012

More Similar Questions