If 3 sin A = 4 cos A, find the value of sin A and cos A.

Asked by Topperlearning User | 6th Sep, 2017, 01:49: PM

Expert Answer:

begin mathsize 12px style 3 sinA equals 4 cosA
rightwards double arrow sinA over cosA equals 4 over 3
tanA equals 4 over 3
Let space PR equals 4 straight x space and space QR equals 3 straight x
By space Pythagoras space theorem comma
PQ squared equals PR squared plus QR to the power of blank
PQ equals 5 straight x
sinA equals PR over PQ equals fraction numerator 4 straight x over denominator 5 straight x end fraction equals 4 over 5
cosA equals QR over PQ equals fraction numerator 3 straight x over denominator 5 straight x end fraction equals 3 over 5 end style

Answered by  | 6th Sep, 2017, 03:49: PM