# Prove trig identity

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Prove the following trigonometric identity: (sec^2x-1)(csc^2x-1)=1

• Prove trig identity -

randy re check the question and use brackets to identify
do u mean secant squared?
or secant to the power of 2x-1

• Prove trig identity -

secant squared... ((sec^2)x-1)((csc^2)x-1)

• Prove trig identity -

re write the question properly
sec^2 x?
is there something there?
there should be either x or thetha there
and is it multplied

• Prove trig identity -

Sorry forgot the =1 on the end, ((sec^2)x-1)((csc^2)x-1)=1

• Prove trig identity -

(sec^2 (x) - 1)(csc^2 (x) - 1) = 1
sec^2 (x) - 1 = tan^2 (x)
csc^2 (x) - 1 = cot^2 (x)

(tan^2 (x) )(cot^2 (x)) = 1
cot^2 (x) = 1/tan^2 (x)

(tan^2 (x) )(1/tan^2 (x))= 1
tan^2 (x)/tan^2 (x)= 1
1 = 1

• Prove trig identity -

Thank you.

• Prove trig identity -

you're welcome

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