Question

If 7 sin ø -24 cos ø=0 then find the value of sec ø

Answer 1

Answer:

25/24

Step-by-step explanation:

given 7 sin ø -24 cos ø=0

=> 7 sin ø = 24 cos ø

=> sin ø / cos ø = 24/7

=> tan ø = 24/7  = adj/opp

we have adj = 24 and opp. side = 7

=> hyp = $\sqrt{opp^2+adj^2}$

           = $\sqrt{7^2+24^2}$

           = $\sqrt{49+576}$

           = $\sqrt{625}$

           = 25

=> sec ø = hyp / adj = 25/24