Question

If 7sin θ - 24 cosθ = 0 , then find the value of sec θ .

Answer 1

Answer:

sec θ  =25 / 7

Step-by-step explanation:

Given : 7sin θ - 24 cosθ =0

  7sin θ = 24 cosθ

   sin θ/ cosθ= 24/7

        tan θ = 24/7        

we know that , 1+ tan^2 θ   = sec ^2  θ

     1+ (24/7)^2 =    sec ^2  θ

    1+ 576/49 =    sec ^2  θ

 (49+576)/49  =    sec ^2  θ    

     625/49 =    sec ^2  θ  

     sec θ  =25/7