For which acute angle are the sine of the angle and cosine of the angle equal?

30º

45º

60º

75º

45º

Step-by-step explanation:

Acute angles are the angles which are less than 90 degrees.

All the given angles are less than 90 degrees and hence are acute angles.

Now, we need to find for which obtuse angle of sine and cosine are equal.

Now, we know the relation

So, if then

Therefore, for 45º the sine and cosine values are equal.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: i believe it’s 245.04

step-by-step explanation: