19. Given 5 cos A - 12 sin A = 0, find the value of
sin A + cos A
(ICSE 1995)
2 cos A - sin A
2
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5cosA−12sinA=0
tanA=
12
5
Now,
2cosA−sinA
sinA+cosA
Multiply and divide by cosA
=
2−tanA
tanA+1
=
2−
12
5
12
5
+1
=
12
24−5
12
5+12
=
19
17
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