How do you verify $(sec x + csc x) (sin x + cos x) – 2 – cot x tan x$ ?

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Answer 1 · 2015-12-18T00:13:49

Applying the definitions of the secant, cosecant, tangent, and cotangent functions, we have

$(secx + cscx)(sinx + cosx) = secxsinx + secxcosx + cscxsinx + cscxcosx$

$= sinx/cosx + cosx/cosx + sinx/sinx + sinx/cosx$

$= tanx + 1 + 1 + cotx$

$= tanx + cotx + 2$

How do you verify (sec x + csc x) (sin x + cos x) – 2 – cot x tan x(sec x + csc x) (sin x + cos x) – 2 – cot x tan x?