Asked by marley
please solve these if possible
Q1. If sinx +siny=3(cosy-cosx) then the value of sin3x/sin3y.
Q2. If sina ,cosa,and tan a are in g.p.then cos cubea+cos square a is equal to
Q1. If sinx +siny=3(cosy-cosx) then the value of sin3x/sin3y.
Q2. If sina ,cosa,and tan a are in g.p.then cos cubea+cos square a is equal to
Answers
Answered by
Anonymous
Q1.
From the given relation, we can write, 3 cos x + sin x = 3 cos y - sin y
put r cos ƒ¿=3 and r sin ƒ¿ = 1 , then we get , r = ã 10, tanƒ¿= 1/3
so r cos ( x - ƒ¿) = r cos (x+ƒ¿)
x = - y or x = }(y+ƒ¿)
clearly x = - y satisfies the equation
therefore, x = - y
so 3x = -3y
sin 3x = sin (-3y) = - sin 3y
sin 3x / sin 3y = -1
From the given relation, we can write, 3 cos x + sin x = 3 cos y - sin y
put r cos ƒ¿=3 and r sin ƒ¿ = 1 , then we get , r = ã 10, tanƒ¿= 1/3
so r cos ( x - ƒ¿) = r cos (x+ƒ¿)
x = - y or x = }(y+ƒ¿)
clearly x = - y satisfies the equation
therefore, x = - y
so 3x = -3y
sin 3x = sin (-3y) = - sin 3y
sin 3x / sin 3y = -1
Answered by
Anonymous
ƒ¿= Greek letter Alpha
Answered by
Mgraph
Q2)Because sina, cosa, tana - g.p.
cos^2(a)=sina*tana=sin^2(a)/cosa
cos^2(a)=(1-cos^2(a))/cosa
cos^3(a)=1-cos^2(a)
cos^2(a)=sina*tana=sin^2(a)/cosa
cos^2(a)=(1-cos^2(a))/cosa
cos^3(a)=1-cos^2(a)
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