Question

if 15cosA-8SinA=0 then find 15cot a+17sin A/8 tanA+16 secA​

Answer 1

Answer:

1445/896

Step-by-step explanation:

Solution,

Given: 15cosA-8sinA=0

or,  15cosA=0+8sinA

or, 15cosA=8sinA

or, cosA/sinA=8/15

We know, cosA/sinA=TanA

again, tanA=p/h

Hence, p=8 and b=15

using Pythagorean theorem,

h = $\sqrt{8^2+15^2}$

 =17

Now putting the values,

15cotA+17sinA/8tanA+16secA=  (15*15/8+17*8/17)/(8*8/15+16*17/15)

                                                =1445/896