Solve the equation. (Enter your answers as a comma-separated list. Use n as an i

Question

Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.] 3 tan(x)- tan(x) -it points LarPCalc10 53 027 Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) 5 sec2(x) -5 sec(x) 10 -1 points LarPCalc10 5 4 045 Find the exact o lue of the trigonometric expression given that situ s-5 where 3m/2…2n, and cos(v-? wher…vcm2. sec(v - u) O- points LarPCak10 5.5.022 es of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. Use the given conditions to find the exact valu 15 sin(2u) - cos(2u)

Explanation / Answer

1) 3 tan^3 x = tan x

3 tan x ( tan^2 x - 1 ) = 0

tan x = 0 , tan x = +- 1

x = pi/6 + n pi , n pi , 5pi/6 + n pi

2) 5 sec^2 x - 5 sec x = 10

sec^2 x - sec x = 2

sec^2 x - sec x - 2 = 0

( sec x - 2 ) ( sec x + 1 ) = 0

sec x = 2 , sec x = -1

x = pi + 2 npi , pi/3 + 2 npi , 5pi/3 + 2 npi

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