tan square theta + cot square theta minus secant squared theta into cosec square theta
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tan^2theta + cot^2theta - sec^2theta×cosec^2theta
= sin^2theta/cos^2theta + cos^2theta/sin^2theta - 1/(cos^2theta×sin^2theta)
= (sin^4theta +cos^4theta)/(cos^2theta sin^2theta) - 1/(cos^2theta sin^2theta)
= (sin^4theta+cos^4theta- 1)/(cos^2theta sin^2theta)
= [sin^4theta + cos^4theta-(sin^2theta+cos^2theta)]/(cos^2theta sin^2theta)
= [sin^2theta(sin^2theta - 1) + cos^2theta(cos^2theta -1)]/(cos^2theta sin^2theta)
= [- sin^2theta cos^2theta - sin^2theta cos^2theta]
/cos^2theta sin^2theta
= -2sin^2theta cos^2theta /sin^2theta cos^2theta
= -2 answer
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