Write each of the following as a function of theta.
1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Step-by-step explanation:

Let x represent theta.

Using the angle addition trig formula,

Multiply one side at a time

Replace theta with x , the answer is

2. Convert 30 degrees into radian

Using tangent formula,

Tan if pi/6 is sqr root of 3/3

Since my phone about to die if you later simplify that,

you'll get

Replace theta with X.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.