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### Geometry8.9 Trignometry Ratios of Certain Specific Angles

 Directions: Answer the following questions. Also write at least 10 examples of your own.
 Q 1: If tan α = 2, prove that sin α.sec α + tan2α - cosec α = (12 - Ö5)/2Answer: Q 2: If sin α = 3, prove that cos α. cosec &alphaα + tan α.secα = (16Ö2 + 3)/8Answer: Q 3: If (cos A + 1)/sin A = 5, then show that cos A = 12/13Answer: Q 4: If 7 sin2 θ + 3 cos2 θ = 4, show that tan θ = 1/Ö3Answer: Q 5: if cos θ = 0.6, prove that 5 sin θ - 3 tan θ = 0Answer: Q 6: If 7 sin A = 24 cos A, prove that 14 tan A + 25 cos A - 7 sec A = 30.Answer: Q 7: If cos θ = 5/13, show that sec θ /(sin θ - tan θ) = 169/96Answer: Q 8: If tan A = 1/Ö3, show that sin A.cos B + cos A.sin B = 1Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!