Prove that:
1-sin2a
cos2a
1-tana
1 1+tana
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Step-by-step explanation:
1-sin2A/cos2A = 1-2sinA.cosA/cos^2A-sin^2A
=cos^2A +sin^2A-2sinAcosA/
cos^2A-sin^2A
= cos^2A-2sonAcosA+sin^2A/
cos^2A-sin^2A
= (cosA +sinA)^2/ (cosA - sinA)
(cosA+sinA)
= (cosA +sinA) (cosA+sinA)/
(cosA-sinA)(cosA+sinA)
= [(cosA+sinA)/(cosA-sinA)]÷cosA
=1+(sinA/cosA) /1-(sinA/cosA)
=1+tanA/1-tanA.
hence it is proved
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