Undergraduate

Verify the identity. 8 sec xsec x tan x = 8 sec x ( sec x + tan x ) Multiply the numerator and denominator

Verify the identity.
8 sec xsec x tan x
=8 sec x(sec x + tan x)
Multiply the numerator and denominator by a common value, and then simplify.
8 sec xsec x tan x
=
8 sec xsec x tan x
sec x + tan x
=
8 sec x
sec2 x tan2 x
Use a Pythagorean Identity, and then simplify.
=
1
=

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