Q25 of 27 Page 1

If tanA = 3/4, find the value of 1/sinA + 1/cosA

OR


If √3 sinƟ-cosƟ=0 and 0°<Ɵ <90°, find the value of Ɵ


tanA = 3/4 = 3k/4k


sinA = 3k/5k = 3/5, cosA = 4k/5k =4/5 (By Pythagoras theorem)


To find: 1/sinA + 1/cosA


= 5/3 + 5/4


= (20 + 15)/12


= 35/12


OR


√3 sinƟ = cosƟ


sinƟ/cosƟ = 1/√3


tanƟ = 1/√3


Ɵ = 30°


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