Trig identity proof question ( help me pls) (1 Viewer)

[scilove]

I've been reaching a point where I don't know what to do anymore with this question like there's so much to expand its blowing my mind away.

(Tan^2 x)/ (sin^2 x) + (sin x)/ (tan^2 x) = cosx( sec^3 x + cotx )




Bonus question ( i don't know what else to do apart from changing the top line to sin2x tbh):
(2sinxcosx) /( sinx + cosx -1 ) = sinx +cosx +1


Thanks so much in advance!!

 

[Mahan1]

I've been reaching a point where I don't know what to do anymore with this question like there's so much to expand its blowing my mind away.

(Tan^2 x)/ (sin^2 x) + (sin x)/ (tan^2 x) = cosx( sec^3 x + cotx )

Bonus question ( i don't know what else to do apart from changing the top line to sin2x tbh):
(2sinxcosx) /( sinx + cosx -1 ) = sinx +cosx +1


Thanks so much in advance!!

You don't need to use fancy trig identity. The only thing is to use definition of tanx in terms of sines and cosines.

 

[leehuan]

I've been reaching a point where I don't know what to do anymore with this question like there's so much to expand its blowing my mind away.

(Tan^2 x)/ (sin^2 x) + (sin x)/ (tan^2 x) = cosx( sec^3 x + cotx )




Bonus question ( i don't know what else to do apart from changing the top line to sin2x tbh):
(2sinxcosx) /( sinx + cosx -1 ) = sinx +cosx +1


Thanks so much in advance!!