Prove that the equation is an identity.(1 + tan x)2 - 2 tan x =  

What will be an ideal response?

Left hand side: 
(1 + tan x)2 - 2 tan x = 1 + 2 tan x + tan2x - 2 tan x  
 

?= 1 +  tan2x
 = sec2x Pythagorean identity 
Right hand side: 
 = 
 =  Pythagorean identity
 = sec2x

Mathematics

You might also like to view...

Find a general term an for the geometric sequence.a1 =  and r = 6

A. an =  ? 6(n-1)
B. an =  + (n - 1)
C. an = n-1+ 
D. an =  + 6(n - 1)

View
Mathematics

Find a point-slope form for the line satisfying the conditions. When two points are given, use the first point in the point -slope form.Slope 8, passing through (0, 9)

A. y - 9 = 8x B. y + 9 = 8x C. y = 8(x - 9) D. y = 8x + 9

View
Mathematics

Solve the system.4x + 5y + z = -413x - 4y - z = 14x + y + 4z = -9

A. {(-5, 4, -5)} B. {(-5, -5, 4)} C. {(4, -5, -5)} D. ?

View
Mathematics

Find an equation for the hyperbola described.Vertices at (0, ±8); asymptotes at y = ± x

A.  -  = 1
B.   -  = 1
C.  -  = 1
D.  -  = 1

View
Mathematics