araymond040401 araymond040401
  • 15-03-2017
  • Mathematics
contestada

Prove the identity. (tanx+1)^2=(1+2sinxcosx)/(cos^2x)

Respuesta :

LammettHash
LammettHash LammettHash
  • 15-03-2017
[tex](\tan x+1)^2=\tan^2x+2\tan x+1[/tex]
[tex]=\sec^2x+2\tan x[/tex]
[tex]=\dfrac1{\cos^2x}+2\dfrac{\sin x}{\cos x}[/tex]
[tex]=\dfrac1{\cos^2x}+\dfrac{2\sin x\cos x}{\cos^2x}[/tex]
[tex]=\dfrac{1+2\sin x\cos x}{\cos^2x}[/tex]
Answer Link

Otras preguntas

what is the effect of Winston's inner debate over how to honor Comrade Ogilvy in the book 1984
what is the fraction for 300 out of 1000
what is the book the bluest eyes about
Which of these describes management
What is the slope-intercept form of the linear equation 2x + 3y = 6?
what is 21/27 multiplying 9/27
Simplify -2 times the square root of 24m^2n^3
What was the experience of American soldiers encounter with French civilians? A) The French were distrustful because Americans had taken so long to get into t
write 11 out of 25 as a percentage
will thumbs up all comments!!! 11. In the early 1800s, __________________________ divided newly settled land into square units that later became townships. Cong