Which is a value of X if sin 60 = cos (X + 10 degrees)?

Question

ill give 10 points. thank you.

Answer 1

Again, if the cosine of one angle is the sine of another angle, then the two angles must add up to 90 degrees.

60 + x + 10 = 90, so 70 + x = 90 and x = 20.

Answer 2

The manner you have put brackets in your question answer is

20 degrees

Reason is Cos (20 degrees+ 10 degrees) is cos (30 degrees)!

Then sin60 is also in degrees!

It is well known that sin (60 degrees)= cos (30 degrees)

Therefore value of x = 20 degrees.!

(All this confusion arise from a representing the angles as either degrees or as radians!)


Regards!

Answer 3

Ques: sin 60 = cos (X + 10 degrees) ans => Since, sin and cos are cofunctions.
That is sin (90 - x degrees) = cos x and cos (90 - x degrees) = sin x
Therefore we can rewrite this as cos (90 - 60 degrees) = cos (X + 10 degrees) => cos (30 degrees) = cos (X + 10 degrees) => comparing the degrees, we get 30 = x + 10 which gives x = 20.

===============================================
For more assistance please visit www.classof1.com.
Classof1 - leading web tutoring and homework help.
Toll free - 1877-252-7763

Answer 4

sin60 = cos(90-60) = cos(30)
x + 10 = 30
x = 20

Answer 5

To find the value of x

sin60 = cos(x+10)

Sqrt(3)/2 = cos(x+10)----------------------(1)

We know that Sqrt(3)/2 = cos(30)-----------------(2)

Comparing equation 1 and 2 , we get

x+10 = 30

x = 20

Answer 6

assuming you are using degrees, as opposed to radians -

sin60 = cos(90-60) = cos(30)
x + 10 = 30
x = 20

thank you advance math!

Answer 7

X= 20 deg in the first quadrant and
320 deg in the last quadrant.

Answer 8

sin0º = cos90º.
sin10º = cos80º.
sin20º = cos70º.
sin30º = cos60º.
sin40º = cos50º.
sin50º = cos40º.

sin60º = cos30º.

Answer 9

-8.119464091
Plug it in to check.