Question

Given tan a = 5/12 , find the other trigonometric ratios of the angle

a.Brainly

Answer 1

Answer:

tan a= Opp.side/Adj.side=5/12

In a right angle triangle,

                                      (Opp.side)^2 + (Adj.side)^2= (Hypotenuse)^2

                                           (5)^2 + (12)^2 = (Hypotenuse)^2

                                                   169= (Hypotenuse)^2

                                                    13= Hypotenuse

sinA=Opp.side/Hypotenuse

      =5/13

cosA=Adj.side/Hypotenuse

        =12/13

tan A=Opp.side/Adj.side                 (Given)

        =5/12

secA=Hypotenuse/Adj.side

        =13/12

cosecA=Hypotenuse/Opp.side

            =13/5

cotA=Adj.side/Opp.side

       =12/5

Answer 2

Answer:

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Step-by-step explanation:

tan A = 5/12 = Opposite side/ adjacent side  

Assume a right angled triangle.  Find the hypotenuse using the pythagoras theorem. Hypotenuse = √(144+25) = √169 = 13

Sin A = Opposite side / Hypotenuse = 5/13  

Cosec A = 1/sin A =13/5

Cos A  = Adjacent side / Hypotenuse  = 12/13

sec A = 1/ cos A = 13/12

Cot A = 1/tan A =12/5