mizagui6 mizagui6
  • 02-03-2017
  • Mathematics
contestada

how do i prove 2sec^2x-2sec^2xsin^2-sin^2x-cos^2x=1

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-03-2017
[tex]2\sec^2x-2\sec^2x\sin^2x-\sin^2x-\cos^2x=2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)[/tex]

Since [tex]\sin^2x+\cos^2x=1[/tex], you have

[tex]2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)=2\sec^2x\cos^2x-1[/tex]

and since [tex]\sec x=\dfrac1{\cos x}[/tex], you end up with [tex]2-1=1[/tex].
Answer Link

Otras preguntas

Smoke exhaled from the lungs of a smoker is called dirty air. a. True b. False
If 3.85 moles of aluminum (Al) metal, with a density of 2.70 g/mL, are needed for a chemical reaction, how many milliliters of aluminum are needed? Select one:
A person with anorexia can die very young. a. True b. False
A woman who entered the workforce in the 1960s could expect to
The pattern of stressed and unstressed syllables in poetry is called — a. meter c. a foot b. scanning a poem d. an iamb
a paperweight is in the shape of a pyramid. The base is a square with sides of 1.5 centimeters. The height of the paperweight is 3 centimeters. Find the volume
+ 66. Write the correct answer in each box Q x = i )
maria's math test had 25 questions she got 84% correct how many did she get wrong
Billig’s Exercise has been found to be useful for relieving: A. backaches. B. shin splints. C. menstrual cramps. D. muscular soreness.
8 plus 7 equals 6 + blank