Solve Question 72 I have solved the sum but I am doubtful Experts please solve - Maths - Introduction to Trigonometry

Question

Solve Question 72
I have solved the sum but I am doubtful
Experts please solve
Solve thos query as soon as possible
Q 72 If tan θ = 5 4 , find the value of 3 sin θ + 4 cos
θ 3 sin θ - 4 cos θ

Aryan Panda · Accepted Answer

tanθ = y/x
<img align="middle" alt=
"r+=+sqrt%28y%5E2+%2B+x%5E2%29+=+sqrt%2841%29" src=
"https://www%20algebra%20com/cgi-bin/plot-formula%20mpl?expression=r+=+sqrt%28y%5E2+%2B+x%5E2%29+=+sqrt%2841%29">

sinθ = y/r =
5/√41
=
5√41/41

cosθ = x/r =
4√41/41

(3sinθ +
4cosθ
)/(3sinθ -
4cosθ ) =
((15√41+16√41)/((15√41-16√41)

= -31

Solve Question 72 . I have solved the sum but I am doubtful. Experts please solve . Solve thos query as soon as possible. Q.72. If tan θ = 5 4 , find the value of 3 sin θ + 4 cos θ 3 sin θ - 4 cos θ .

Solve Question 72 .
I have solved the sum but I am doubtful.
Experts please solve .
Solve thos query as soon as possible.
Q.72. If $\tan θ = \frac{5}{4}$ , find the value of $\frac{3 \sin θ + 4 \cos θ}{3 \sin θ - 4 \cos θ}$ .