use an inverse trig function to write theta as a function of x

(There is a right triangle drawn.
The hypotenuse is 2.
Theta is the angle between the base and the hypotenuse.
The base/adjacent side of theta is labeled(x + 1)
The side opposite theta does not have a value.)

Use an inverse trig function to write theta as a function of x:

a) theta = sqrt [4 - (x + 1)^2] all divided by 2

b)theta = arccos [(x + 1)/2]

c)theta = arctan[(x + 1)/2]

d)theta = arcsin [2/(x + 1)]

How do I do this? I'm leaning towards B, the inverse cosine because only the adjacent side and hypotenuse are given. The opposite side is not given, and there is already a variable x in the given adjacent side.

Am I on the right track? If not, please explain. Thank you.

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. Leaning? Lord, solve the triangle.

so cosine Theta=(x+1)/2

So lean on B.

1. 👍
2. 👎
3. ℹ️
4. 🚩
👤
bobpursley
2. find sin 20,cos 20 and tan 20 given that cos 0<=-4/5 and 90 degrees<0<180 degrees

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### Math III

For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the function: f(0)=4;f(pi/4)=0;f(pi/2)=-4;f(3pi/4)=0;f(pi)=4. What is the rule for the cosine function? a.

2. ### Algebra 2

Answers to the Inverse Relations and Functions Practice, cause I couldn't find it anywhere. 1. A relation is given in the table below. Write out the ordered pair for the inverse, and then determine is the inverse is a function. B)

3. ### Algebra2

The function f(theta) and g (theta) are sine functions where f(0)=g(0)=0. The amplitude of f (theta) is twice the amplitude of g(theta). The period of f(theta) is one-half the period of g(theta). If g (theta) has a period of 2pi

4. ### Calculus Help

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter

1. ### algebra

Can someone help with inverse relations and functions? is relation t a function? Is the inverse t a function? chart looks like: x 0 2 4 6 y -10 -1 4 8 If someone could please explain this problem

2. ### Functions - math

The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a

3. ### Algebra

Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) Which statement best explains whether an inverse variation function is the best model for the data?

4. ### Calculus, check my answers, please! 3

Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f –1 that is

1. ### inverse

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

2. ### Trigonometry

Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then

3. ### precalc h

sin(theta)/1-cos(theta) + 1-cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? or lead me in the direction to figuring it out? and.. (Beside the trig functions is theta) 1+1/cos =

4. ### Math

Suppose that y varies inversely with x. Write a function that models the inverse function. x = 25 when y = 5