Question

if 4tan∅=3 evaluate 4sin∅ - cos∅+1/4sin∅+cos∅+1​

Answer 1

Answer:

Sidi du du du du St St St at BJ ml no

Answer 2

Answer:

Note : I have done the solution in detail

according to question :-

if 4tanΦ = 3

then tan Φ = 3/4

now tan Φ = P/b

so P/b = 3/4

P (perpendicular) = 3

B (base) = 4

now using Pythagoras theorem :-

hypotenuse ^2 = perpendicular ^2 + base ^2

hypotenuse ^2 = 3^2 + 4^2

hypotenuse ^2 = 9+16

hypotenuse ^2 = 25

hypotenuse = √25 = 5

now sin Φ = P/h = 3/5

cos Φ = b/h = 4/5

now evaluate :-

putting values in question :

4sin Φ - cos Φ +1 / 4sin Φ + cos Φ + 1

4*3/5 - 4/5 + 1 / 4*3/5 + 4/5 + 1

12/5 - 4/5 + 1 / 12/5 + 4/5 + 1

12-4-5 / 5 whole divided by 12+4+5 / 5

(3/5) / (21/5 )

doing reciprocal :-

3/5 * 5/21 = 1/7 Answer

hope you understand plz thank my answer