16. if 5tanA= 3 then value of (5sinA-3cosA /4sinA+ 3cosA)?
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Answer:
5tanA = 3
tanA = 3/5
TanA = p/b
h=✓p²+b² = ✓3²+5² = ✓ 9+25 = ✓34
h = ✓34
Now sinA = p/h = 3/✓34
cosA = 5/✓34
5sinA - 3cosA ÷ 4sinA + 3cosA
15/✓34 - 15/✓34 ÷ 12/✓34 + 15/✓34
0 ÷ 17/✓34
= 0
Another way
Divide 5sinA-3cosA/ 4sinA+3cosA by cos A
we will get
5tanA-3/4tanA+3
= 3-3 / 4tanA +3 (because 5tanA = 3)
= 0/ 4tanA + 3
= 0 (0 upon anything is 0)
Hope it helps you.
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