Question

if sin ø =15/7 evalute 15cosø+17sinø/8tanø+16 secø​

Answer 1

Answer:

Step-by-step explanation:

We are given that Sin θ = \frac{15}{17}

17

15

We can calculate Cos θ with the help of trigonometric identitySin^{2} \theta + Cos^{2}\theta Cos θ = 1Sin

2

θ+Cos

2

θCosθ=1 = \frac{8}{17}

17

8

Tan θ = \frac{Sin\theta}{Cos\theta}

Cosθ

Sinθ

= \frac{15}{8}

8

15

Cot θ = \frac{Cos\theta}{Sin\theta}

Sinθ

Cosθ

= \frac{8}{15}

15

8

We have to evaluate

15 cotθ +17 sin θ/8 tan t\frac{15 cot\theta + 17 sin\theta}{8 tan\theta + 16 sec\theta}

8tanθ+16secθ

15cotθ+17sinθ

heta+16 sec

= \frac{8+15}{15+34}

15+34

8+15

= \frac{23}{49}

49

23

= 0.469