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рдкреНрд░рд╢реНрди
`(1+ cos theta - sin^2 theta )/(sin theta (1+ cos theta))= cot theta`
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рдЙрддреНрддрд░
LHS= `(1+ cos theta - sin^2 theta )/(sin theta (1+ cos theta)`
=` ((1+ cos theta )- (1-cos^2 theta))/(sin theta(1+ cos theta))`
=`(cos theta + cos^2 theta)/( sin theta ( 1+ cos theta))`
=`(cos theta ( 1+ cos theta ))/ ( sin theta ( 1+ cos theta))`
=`cos theta/ sin theta`
= cot ЁЭЬГ
= RHS
Hence, L.H.S. = R.H.S.
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рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНтАНрди
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tanA+cotA=secAcosecA
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(secA - cosA)(secA + cosA) = `sin^2A + tan^2A`
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Activity:
sec2θ = 1 + `square` ...[Fundamental trigonometric identity]
sec2θ = 1 + `square^2`
sec2θ = 1 + `square`
sec θ = `square`
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