prove tanx + sinx / tanx - sinx = secx + 1 / secx - 1
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Step-by-step explanation:
=tanx+sinx/tanx-sinx
=sinx/cosx +sinx
_____________
sinx/cosx -sinx
=sinx+sinxcosx/cosx
_______________
sinx -sinxcosx/cosx
=sinx(1+cosx)/sinx(1-cosx)
=1+cosx/1-cosx
=1+1/secx
_______
1-1/secx
=secx+1/secx
__________
secx-1/secx
=secx+1/secx-1
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