3x = sec theta, 3/x = tan theta
Find (x^2 -1/x^2)
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Answer:
1/9
Step-by-step explanation:
Given: 3x = sec theta and 3/x = tan theta
Proof: sec^2 theta = (3x)^2 = 9x^2
tan^2 theta = (3/x)^2 = 9/x^2
We know that,
sec^2 theta - tan^2 theta = 1
9x^2 - 9/x^2 = 1
9 ( x^2 - 1/x^2 ) = 1
( x^2 - 1/x^2 ) = 1/9
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