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How do you verify $sin (- x) sec (- x) = - tan (x)$ $sin(-x)sec(-x)=-tan(x)$ ?

1 Answer

Apr 17, 2016

See below

Explanation:

LHS =left hand side, RHS =right hand side

LHS $= - sin x \times \frac{1}{cos (- x)}$ $=-sin x xx 1/cos(-x)$

$= - \frac{sin x}{cos x}$ $=-sinx/ cosx$

$= - tan x$ $=- tanx$

$= R H S$ $=RHS$

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