coltonhayden88
coltonhayden88 coltonhayden88
  • 25-06-2022
  • Mathematics
contestada

How do I simplify the following expression by writing it as a term with only one trigonometric function?

(4-2sec^2(x))/(sec^2(x))

Respuesta :

surjithayer surjithayer
  • 25-06-2022

Answer:

2 cos (2x)

Step-by-step explanation:

[tex]\frac{4 -2 sec^2x}{sec^2x} \\=\frac{4-\frac{2}{cos^2x} }{\frac{1}{cos^2 x} } \\=\frac{\frac{4 cos^2x-2}{cos^2 x} }{\frac{1}{cos^2x} } \\=\frac{2(2 cos^2x-1)}{cos^2x} \times \frac{cos^2x}{1} \\=2(2cos^2x-1)\\=2cos(2x)[/tex]

Answer Link

Otras preguntas

Anyone that smarted then me please be a helping hand I’m suck:/
This is for a project, what customer services does Victoria’s Secret offer (e.g. trained bra fitter, free gift wrap, personal shopper, etc)? Could you give me a
A building 200 feet tall casts a 64 foot shadow. How long a shadow will an 18 foot tree cast at the same time?
Please help me with this question will give BRAINLIST to the best answer
12. For any two integers x and y, lx + yl = |x| + byl
5(2x-3)-3(3+4) Which expression is the simplest form of 9 O A. 72-27 9 O B. B. 132 -27 O c. 77,73 O D. 7x - 3
100 points In a well-developed paragraph of four to six sentences, compare or contrast the structure of a dramatic play (as in Romeo and Juliet) with the struc
What does it mean when the scale on a scale drawing does not indicate any units?
Which statement is true? Please help me
How would you describe the earliest Sumerian writings?