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[" PTE TOP "],[qquad sin A=(2tan(A)/(2))...

[" PTE TOP "],[qquad sin A=(2tan(A)/(2))/(1+tan^(2)(A)/(2))]

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Explore conceptually related problems

sin A = (2 (tan A) / (2)) / (1+ (tan ^ (2) A) / (2))

to prove that sin A=2(tan((A)/(2)))/(1+tan^(2)((A)/(2)))

(1-sin(2)A)(1+tan^(2)A)=1

(1-sin^(2)A)(1+tan^(2)A)=

sin^(-1)((1-tan^(2)x)/(1+tan^(2)x))

(1+sin2A)/(1-sin2A)=tan^(2)((pi)/(4)+A)

(1-sin^2A)(1+tan^(2)A)=1

Prove that (sin^(2)A)/(cos^(2)A)+1=(tan^(2)A)/(sin^(2)A)

(1+tan^2A)(1-sin^2A)=