ginanguyen0042 ginanguyen0042
  • 10-06-2021
  • Mathematics
contestada

Write 3 equivalent expressions for cot^2x + 1

Respuesta :

VestaHofman VestaHofman
  • 11-06-2021

Answer:

[tex]1)\\cosec^2x\\2)\\\frac{1}{sin^2x} \\3)\\\frac{1}{1-cos^2x}[/tex]

Step-by-step explanation:

Given :

[tex]cot ^2x+1\\[/tex]

Now,

1)

[tex]cot^2x+1\\\frac{cos^2x}{sin^2x} +\frac{sin^2x}{sin^2x} \\\frac{cos^2x+sin^2x}{sin^2x} \\\frac{1}{sin^2x} \\csc^2x[/tex]

2)

[tex]\frac{1}{sin^2x} =1+cot^2x[/tex]

3)

[tex]\frac{1}{1-cos^2x} =1+cot^2x[/tex]

Answer Link

Otras preguntas

Reporting frequencies of sample data, such as eye color, ethnicity, grade point average, and height is done by using __________ statistics. A. inferential B. ex
How to increase serotonin in the human brain without drugs?
Find the midpoint of the segment with the given endpoints. D(5, 1) and E(13, 11) (324, 144) (9, 6) (21, 21) (4, 5)
Based on the theory of evolution, if a population possesses a large amount of genetic variety, what level of variety can be expected in the future for that same
Why are mole ratios important in stoichiometry?
How much do you have to weigh to get gastric bypass surgery?
why did early trade in Washington rely on shipping?
Which part of the brain is the executive suite that controls almost all brain activity?
This is the origin of a new species in evolution, there are many different methods by which this can occur. different species cannot reproduce successfully.
Before the agricultural revolution many people lived in rural areas because