Given that sinx=3/5 where x is an acute angle for cosx

1 answer:

4 0

The correct question is
Given that sinx=3/5 where x is an acute angle, what is cosx and tanx?

we know that

since x is acute 0<x<π/2
then the trigonometric rations will be positive

sin ²x+cos²x=1------------> cos²x=1-sin²x-------> cos²x=1-(3/5)²----> 1-(9/25)
cos²x=16/25----------> cos x=4/5

the answer part A) is
cos x=4/5

tan x=sin x/cos x
so
tan x=(3/5)/(4/5)---------> tan x=3/4

the answer part B) is
tan x=3/4

You might be interested in

Which statement BEST describes why the exponential function exceeds the linear function?

Mkey [24]

Answer:

Step-by-step explanation:

A is correct. The graph of the basic exponential function neither touches nor crosses the x-axis, whereas a linear function does cross over and can be negative for some inputs.

4 0

2 years ago

the probability that Olivia will make a free throw is 0.6, what is the probabilty that olivia makes the first free throw and the

Y_Kistochka [10]

I don’t not know the exact answer

3 0

2 years ago

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

6 0

3 years ago

One cup of grated, fresh Parmesan cheese weighs 3 ounces. How many cups of grated cheese can you expect to get from a 4.5-poun

Ksenya-84 [330]

Answer:

9 cups

Step-by-step explanation:

If one pound is equal to 2 cups, then you would multiply 2 by 4, which gives you 8. If one pound equals 2 cups, then half a pound equals 1 cup. So since we already have 8 cups, you just add one more cup, which gives you 9 cups total

SUMMARY: You can expect to get 9 cups of grated parmesan cheese from a 4.5-pound block.

5 0

2 years ago

Please help, I am super stuck and I cant lose points this homework is 16 points total

bekas [8.4K]

Hello,

7) A∪C={1,2,3,4,5,7,9}

8) A∩B={2,4}

C'= complement of C ={2,4,6}

9) A∪B∩C'={1,2,3,4,6,8}∩{2,4,6}={2,4,6}

10) A∪(B∩C')={1,2,3,4}∩{2,4,6}={1,2,3,4,6}

Are you blind?

4 0

3 years ago