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8.9 Trignometry Ratios of Certain Specific Angles
Answer the following questions. Also write at least 10 examples of your own.
: If tan A =
2 - 1, show that sin A.cos A =
: If sec θ = 5/4, prove that (sin θ - 2 cos θ)/ (tan θ - cot θ) = 12/7
: If tan α = 2, prove that sin α.sec α + tan
α - cosec α = (12 -
: If tan A = 1/
3, show that sin A.cos B + cos A.sin B = 1
: If 7 sin A = 24 cos A, prove that 14 tan A + 25 cos A - 7 sec A = 30.
: If (cos A + 1)/sin A = 5, then show that cos A = 12/13
: If 7 sin
θ + 3 cos
θ = 4, show that tan θ = 1/
: If cos θ = 5/13, show that sec θ /(sin θ - tan θ) = 169/96
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