5131 Question Help Find the remaining five trigonometic func

5.1.31 Question Help Find the remaining five trigonometic functions of sines 7,0 in quadrant 11 Complete the following table sin = sec = tan (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Enter your answer in the edit fields and then click Check Answer

Solution

sin =opposite side_/hypotenuse= 6_/7

hypotenuse²=opposite side²+ adjacent side²

=>7²=6²+ adjacent side²

=> adjacent side =(49-36)

=> adjacent side =13

in Quadrant II , sin and csc are positive, remaining all are negative

cos =adjacent side_/hypotenuse= -(13)_/7

tan=opposite side_{/adjacent side}=-6_/13=-(613)_/13

csc =hypotenuse_{/opposite side}= 7_/6

sec =hypotenuse_{/adjacent side}= -7_/13 =-(713)_/13

cot =adjacent side_{/opposite side}= -(13)_/6

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