Csc x · sec x - tan x =
= 1 / sin x · 1 / cos x - sin x / cos x =
= 1 / sinx cos x - sin² x / sin x cos x =
= ( 1 - sin² x ) / (sin x cos x) =
= cos² x / ( sin x cos x ) =
= cos x / sin x = cot x
Answer:
Length = 12cm
Step-by-step explanation:
The dimensions of the recatngle is:
- width → x
and
- length → x+7
The area of a rectangle follows the formula: length*width
Meaning: x * (x + 7) = 60
Expand that: x^2 + 7x = 60
Rearragne the equation and factorise it
(x-5)(x+12) = 0
The width cannot be a negative value, so the answer must be 5.
Remember that x was the width and the length is the width add the 7.
So the length is 12 cm.