If cosx=tany, cosy=Tanz and cosz= tanx, prove that |sinx|=|siny|=|sinz|
Democrat Singh , 8 Years ago
Grade 11
Trigonometry> If cosx=tany, cosy=Tanz and cosz= tanx, p...
1 AnswersVikas TU
Last Activity: 8 Years ago
convert evrythng in cos form.
cosx = cos(1/root(1+y^2))
x = 1/root(1+y^2) …......................................(1)
cosy = cos(1/root(1+z^2))
y = 1/root(1+z^2) …......................................(2)
similarly,
cosz = cos(1/root(1+x^2))
z = 1/root(1+x^2)................................(3)
Take sinboth sides in all 3 eqns. and compare,
and take mod, thus the magnitude are all in the form of square form which are all same
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