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Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships Page 1 www.jmap.org Name: __________________________________ A2.A.58: Cofunction Trigonometric Relationships: Know and apply the cofunction and reciprocal relationships between trigonometric ratios 1 If angles A and B are complementary, then 1) 2) 3) 4) 2 If is acute and equals , then 1) 2) 3) 4) 3 If 1) 6 2) 36 3) 54 4) 4 If 1) 2) 3) 4) , then is equal to , the number of degrees in the measure of angle 30 60 90 120 5 If 1) 15º 2) 30º 3) 45º , a measure of angle x is is Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships Page 2 www.jmap.org Name: __________________________________ 4) 60º 6 If 1) 2) 3) 4) , a value of x is 10 20 30 40 7 If 1) 2) 3) 4) 28 32 45 84 , then 8 If 1) , then is is 2) 5 3) 18 4) 36 9 If 1) 2) 17 3) 35 4) 71 10 If 1) 2) 3) 4) , then the value of x is , the value of x is 35º 45º 55º 70º Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships Page 3 www.jmap.org Name: __________________________________ 11 If 1) 2) 26 3) 29 4) 64 12 If 1) 2) 3) 4) , then the value of x is , a value of x is 35 45 55 70 13 Which is a value of x if 1) 10º 2) 20º 3) 50º 4) 60º ? 14 Which value of x satisfies the equation 1) 30 2) 24 3) 12 4) 4 15 If x is a positive acute angle and 16 If 3x is the measure of a positive acute angle and 17 If ? , find the value of x. , find the value of x. , find the number of degrees in the measure of acute angle x. Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships Page 4 www.jmap.org Name: __________________________________ 18 If , find the value of x. 19 If , find x. 20 If , find the smallest positive value of a, in degrees. 21 Find the value of acute angle A if . Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships www.jmap.org 1 ANS: 3 REF: 011625a2 2 ANS: 3Cofunctions tangent and cotangent are complementary REF: 061014a2 3 ANS: 1 . (3), or 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 REF: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: 35º REF: ANS: 10º REF: ANS: 18 REF: ANS: 30 REF: ANS: 15 REF: ANS: 010320b 2 2 2 2 3 2 1 3 1 2 3 088415siii 010404siii 089704siii 069912siii 060310siii REF: 011330a2 , is also a correct response. REF: REF: REF: REF: REF: REF: REF: REF: REF: REF: REF: 068025siii 088622siii 089328siii 088932siii 069621siii 089633siii 019729siii 069825siii 080118siii 068717siii 019428siii Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships www.jmap.org 21 ANS: 40º REF: 018712siii