if sinx,cosx,tanx are in g.p then (cosx)^9+(cosx)^6+3(cosx)^5-1 equals

Question

mathmale · Answer

Please clarify what you mean by "g. p."

anonymous · Answer

g.p. is geometric progression

mathmale · Answer

New situation for me.  What does it signify when you state that sin x, cos x and tan x are in geometric progression?

anonymous · Answer

that is cosx=sinx*r
and tanx=cosx*r where r is the common ratio

anonymous · Answer

also tanx=sinx*r^2
and $$\cos x =\sqrt{sinx*tanx}$$

mathmale · Answer

If you state that that is cosx=sinx*r
and tanx=cosx*r where r is the common ratio, then it appears that the common ratio, r, is cos x / sin x, or cot x.  Is that your reasoning?

anonymous · Answer

yes

mathmale · Answer

if that is the case, is it true, as you say, that tanx=sinx*r^2?  Try verifying that.