Match each of the trigonometric expressions below with theequivalent non-trigonometric function from the following list.Enter the appropiate letter(A,B, C, D or E)in each blank

A . tan(arcsin(x/8))

B . cos (arsin (x/8))

C. (1/2)sin (2arcsin (x/8))

D . sin ( arctan (x/8))

E. cos (arctan (x/8))

These are the spaces to fill out :

.. ..........x/64 (sqrt(64-x^2))

.............x/sqrt(64+x^2)

.............sqrt(64-x^2)/8

..............x/sqrt(64-x^2)

..............8/sqrt(64+x^2)

A. ........tan(arcsin(x/8)) =......x/sqrt(64-x^2)

B . cos (arsin (x/8)) ....sqrt(64-x^2)/8

Step-by-step explanation:

To solve this we have to find the missing sides to each of the triange discribed in prenthesis thus

A we have the sides of the triangle given by x, 8 and $\sqrt{8^{2} - x^{2} }$ or $\sqrt{64 - x^{2} }$

thus tan(arcsin(x/8)) = $\frac{x}{\sqrt{64 - x^{2} }}$ =

Therefore ........tan(arcsin(x/8)) =......x/sqrt(64-x^2)

Here we have cos = adjacent/hypotenuse where adjacent side is $\sqrt{64 - x^{2} }$ and hypothenuse = 8 we have $\sqrt{64 - x^{2} }$ /8

B . cos (arsin (x/8)) ....sqrt(64-x^2)/8

4 0

2 years ago

The inverse of the function g(x)=x−65 can be written in the form g−1(x)=ax+b. What is the value of a?

Anna35 [415]

9514 1404 393

Answer:

a = 1

Step-by-step explanation:

The slope of the inverse of a linear function is the inverse of the slope of the original function.

The slope of g(x) is the coefficient of x: 1.

The inverse of 1 is 1/1 = 1.

The slope of the function g^-1(x) is 1, so a=1.

_____

Additional comment

g^-1(x) = x +65 . . . . . a=1; b=65

3 0

3 years ago

A student would like to estimate the height of a statue. The length of the statue's right arm is 51 feet. The student's right

Vinvika [58]

Answer:

FEET

Step-by-step explanation:

8 0

2 years ago