-1 -1 d. + = = 2 tan x tan x-sec x tan x + secx
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
Verify the identity. 1- tanx 1-tan secx Factor the numerator (tanx-1)(1+tan %) (1 - tan²x) (1-tan?:) (1+tan :) (1 - tanºx) Simplify the fraction O 1+tanºx Use an identity to simplify the expression from the previous step 1-tan O sec? 0 1
For f(x) = sec (x) -tan?(x), find fľ(1). O AT OBI 0 0 Ele 0 0
Question 7 Find x correct to one decimal place. 60° 30° y 55 95.3 31.8 127 * Previous Question 8 Find the equivalent expression. tan'x-secx secx +tan-x cse'x + tan2x csc2x +cotx anx Secx cotx cscx Previous oe曲 Question 7 Find x correct to one decimal place. 60° 30° y 55 95.3 31.8 127 * Previous Question 8 Find the equivalent expression. tan'x-secx secx +tan-x cse'x + tan2x csc2x +cotx anx Secx cotx cscx Previous oe曲
Verify that the equation is an identity. sec *x-tan 4x = 2 sec 2-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transfer sec 4x-tan 4x = sec?x + tan x) Factor the difference of two squares. O(secx+ tanºx) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan-x. Then simplify. = 2 secx-1 7
13 Find all solutions to 6 tan” x 20 tan x + 6 = 0 14 Calculate and find the modulus of (3 – V2i)?
Verify that the equation is an identity. secºx- tan x=2 sec?x-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the e each step Factor the ecºx - tanx= (sec?x+tan tan) two squares. sec difference of (Тут sec?x-2 sec x tan x + tan x sec?x+2 sec x tanx + tanx sec?x + tanx secx-tan? Choose an identity, ar 2. ary ans se y...
5. Find the derivative of f(x) = ln (sec(x) + tan *' (x)). 6. Find an equation of the tangent line to the curve y = x’ In(x) when x = e?
Rewrite the following expression in terms of the given function. tan x + cotx secx CSC X tan x + cotx CSC X