Trigonometry Answers

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

f(x)=5 ; x = -3, -2, -1, 0, 1, 2, 3

Graph the given function using the given values of x. Also use the graph to determine the domain and range of the function.

h(x)=|x-3| ; x = 0, 1, 2, 3, 4, 5, 6

Give the domain of the function.

22. g(x)=5/(x^2-25)

23. f(t)=3t^2+5t+2

24. h(x)=square root of 5x-2

Problem 21: Find the functional values f(-5), f(1), and f(3) for the compound function.

f(x)= { |x-5|, if x is less than or equal to 1} { 1 / (x+1), if x is greater than 1}

Use the double angled formula to prove the following expressions.

(i) Given that cos(x+30)=3cos(x-30), prove that tanx= - root 3/ 2

(ii)prove that 1-cos2x/sin2x = tan x

(iii) verify that x= 180 is a solution of the equation 2x=2-2cos2x

(iv) Using the resulat from part (ii) or otherwise find the two other solutions 0<x<360 of the equation 2x= 2-2cos2x

Thanks

prove that sin5(x) - 2sin3(x) + sin(x)/ cos5(x) - cos(x) = tanx

if tanx/2=secz,prove that sinx=1-tanz/2/1+tanz/2

find f( x + h) when f (x)= -3x + 5 / 7x + 4

find the value for the function