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Decide whether the equation is a trigonometric identity Explain your reasoning secxtanx(1sin^2x)=sinx

Question

Decide whether the equation is a trigonometric identity. Explain your reasoning.

secxtanx(1-sin^2x)=sinx

sec x tan x (1 – sin x ) = sin x
Left Hand Side = LHS
L.H.S = sec x tan x( 1 -sin x)
=
1 sinx
.. sin x + cos x =1
COs x Cost
cost x)
sin x
=
cos x = sin r
cos x
= R.H.S
Hence
sec x tan x (1 – sin’…
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