" 10.Fह करे कि "(sin^(2)A)/(cos^(2)A)+1=(tan^(2)A)/(sin^(2)A)

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

Prove that (sin2A)/(1+cos2A)=tan A

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

Prove that: (sin A + cos A)/(sin A - cos A) + (sin A - cos A)/(sin A + cos A) = (2)/(sin^(2)A-cos^(2)A)=(2)/(2sin^(2)A-1)=(2)/(1-2 cos^(2)A) .

Prove :sin^(2)A cot^(2)A+cos^(2)A tan^(2)A=1

If A=30^(@) , then prove that : cos2A=cos^(2)A-sin^(2)A " "=(1-tan^(2)A)/(1+tan^(2)A)

If A=30^(@) , then prove that : cos2A=cos^(2)A-sin^(2)A " "=(1-tan^(2)A)/(1+tan^(2)A)

Prove the following identities: (sin+cos A)/(sin A-cos A)+(sin-cos A)/(sin A+cos A)=(2)/(sin^(2)A-cos^(2)A)=(2)/(2sin^(2)A-1)=(2)/(1-2cos^(2)A)

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

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)