Question

If 5tan∅=4, find the value of 5sin∅-3cos∅/5sin∅+2cos∅.​

Answer 1

Answer:

Given,

5tan$=4

tan$=⅘

P/H=⅘

Now, By Pythagoras theorem..

H² = P² + B²

H² = 4² + 5²

H² = 16 + 25

H² = 41

H = ✓41

Hence,

5sin$ - 3sin$ / 5sin$ + 2cos$

= 5×4/✓41 - 3×5/41 / 5×4/✓41 + 2 ×5/✓41

= 20 - 15 / 20 + 10

= 5/30

= 1/6

Ans.

Answer 2

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