Q 1: If (cos A + 1)/sin A = 5, then show that cos A = 12/13 Answer:

Q 2: If tan A = Ö2  1, show that sin A.cos A = Ö2/4 Answer:

Q 3: If 7 sin^{2} θ + 3 cos^{2} θ = 4, show that tan θ = 1/Ö3 Answer:

Q 4: If sec θ = 5/4, prove that (sin θ  2 cos θ)/ (tan θ  cot θ) = 12/7 Answer:

Q 5: If tan A = 1/Ö3, show that sin A.cos B + cos A.sin B = 1 Answer:

Q 6: If tan α = 2, prove that sin α.sec α + tan^{2}α  cosec α = (12  Ö5)/2 Answer:

Q 7: If sin α = 3, prove that cos α. cosec &alphaα + tan α.secα = (16Ö2 + 3)/8 Answer:

Q 8: If 7 sin A = 24 cos A, prove that 14 tan A + 25 cos A  7 sec A = 30. Answer:

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