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High School Mathematics - 210.4 Relations between Sin θ, Cos θ and Tan θ

 The ratios sin θ, cos θ and tan θ of an angle are very closely related. If one of them is known, the other two can be easily determined. Example: If sin θ = 3/5, find tan θ, θ is acute. cos θ = 4/5 tan θ = sin θ/ cos θ = 3/4 Directions: Answer the following questions. Also write at least ten examples of your own.
 Q 1: If cos B = 4/5, find sin B.3/413/51/2 Q 2: If sin θ = 8/17, then tan θ is17/158/158/2515/17 Q 3: Given cos θ = 3/5, calculate the value of sin θ, tan θ.sin θ = 4/5; tan θ = 4/3sin θ = 4/5; tan θ = 4/3sin θ = 4/5; tan θ = 4/3sin θ = 4/5; tan θ = 4/3 Q 4: If tan B = Ö3, find sin B, cos B. sin B = Ö2; cos B = 1/2sin B = Ö3/2; cos B = 1/Ö2sin B = 1/2; cos B = Ö3/2sin B = Ö3/2; cos B = 1/2 Q 5: If sin A = 2/3, find tan A.2/Ö5;1Ö5/3;3/2 Q 6: If cos A = 1/3, find sin A, tan A.sin A = 2Ö2/3, tan A = 2Ö2sin A = 2Ö2/3, tan A = 2/3sin A = 2Ö2, tan A = 2Ö2sin A = 2Ö3, tan A = 2Ö2/3 Q 7: If θ is acute and tan θ = 4/3, find the value of sin θ + cosθ.3/43/77/57/4 Q 8: if sin θ = 1/Ö10, find cos θ .1/33/Ö10Ö101/Ö10 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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