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Prove that (1+sin2A)/(cos2A)=(cosA+sinA)...

Prove that `(1+sin2A)/(cos2A)=(cosA+sinA)/(cosA-sinA)=tan((pi)/(4)+A)`

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`(1+sin2A)/(cos2A)=(Sin^(2)A+cos^(2)A+2sinAcosA)/(cos^(2)A-sin^(2)A)`
`=(cosA+sinA)/(cosA-sinA)`
`=(1+tanA)/(1-tanA)=tan((pi)/(4)+A)`
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CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise 3.4
  1. (1+sin2A-cos2A)/(1+sin2A+cos2A)=tanA

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  2. Prove that (1+sin2A)/(cos2A)=(cosA+sinA)/(cosA-sinA)=tan((pi)/(4)+A)

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  3. Prove that cot theta-tan theta=2cot 2 theta.

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  4. Prove that (cos theta-sintheta)/(cos theta+sintheta)=sec 2 theta-tan 2...

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  6. Prove that cosecA-2 cot 2A cos A=2sinA.

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  8. (sin ^2 3A )/( sin ^2 A ) -( cos^2 3A )/(cos ^2 A ) is

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  9. Prove that (1+sec 2 theta)(1+sec 4 theta)(1+sec 8 theta)=(Tan 8theta)/...

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  10. If in an isosceles triangle with base 'a', vertical angle 20^@ and lat...

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  11. In DeltaABC, a = 3, b = 4 and c = 5, then value of sinA + sin2B + sin...

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  12. If cos A = 3/4 then sin ""(A) /(2 ) . Sin 5 (A)/(2) is

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  13. Find the value of (4cos^(2)9^(@)-1)(4cos^(2)27^(@)-1) (4cos^(2)81^(@...

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  16. Let a=(pi)/(7), then (a) show that sin^(2)3a-sin^(2)a=sin2asin3a (...

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  17. Show that 1/(sin 10^@) - sqrt3/(cos 10^@) = 4

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