if sinteeta+costeeta=root3 then prove that
tanteeta+cotteeta=1
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Answer:
squaring on both side
sin^2theta + cos^2theta +2sintheta cos theta = 3
sin^2theta + cos^2 theta =1
2sintheta costheta = 3-1
2sin theta cos theta = 2
sin theta×costheta = 1
*divide both sides by sintheta costheta*
sintheta x costheta/sintheta.cos theta = 1/sin theta costheta
cross multiply
sin^2theta/sinthetacostheta + cos^2 theta/sin theta cos theta
sin theta/costheta + costheta/sintheta = 1
tan theta + cot theta= 1
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