Write the expression as the sine, cosine, or tangent of an angle. (tan (pi/5) + tan (pi/2))/(1-tan (pi/5) tan (pi/2))

Step-by-step explanation:

the formula is :

tan (a+b) =

(tan (a) + tan (b)) / ( 1 - tan (a) . tan (b))

therefore

tan (π/5) + tan (π/2)) / (1-tan (π/5) tan (π/2))

= tan (π/5 + π/2)

10 miles

step-by-step explanation:

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