It can be shown that (1 + tan x + sec x) · (1 + cot x − csc x) = A for a specific real number A. Find the value of A that makes the equation above an identity.
Added by Amanda L.
Step 1
First, we can simplify the left-hand side of the equation using the identities: - tan x = sin x / cos x - sec x = 1 / cos x - cot x = cos x / sin x - csc x = 1 / sin x (1 + tan x + sec x) · (1 + cot x − csc x) = (1 + sin x / cos x + 1 / cos x) · (1 + cos x / sin Show more…
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