Question

Find the value of tan(25π/4)
....
very urgent please​

Answer 1

Step-by-step explanation:

tan 25 pi/4

tan 6+pi/4

so.,

tan pi/4 = tan 45= 1

Answer 2

Answer:

The expression sin(- (25pi)/4) daunting, but consider that may look sin(- (25pi)/4) = sin(- (((3 * 8) + 1) * pi)/4) Since there are 2pi radians in a circle this means we make three complete rotations about the unit circle in the clockwise direction, and another pi/4 beyond that.

So, because of this we can say that sin(- (25pi)/4) = sin(- pi/4) . If you remember your unit circle, you will recall that sin(pi/4) = 1/(sqrt(2)) Since we are rotating in the clockwise direction, and the sine function corresponds to our y-values, we know that we end up below the x-axis when our rotating is done, s * 0sin(- pi/4) = - 1/(sqrt(2))

The Pythagorean Theorem says sin^2 (x) + cos^2 (x) = 1

So

cos(- pi/4) = sqrt(1 - (- 1/(sqrt(2))) ^ 2) = sqrt(1 - 1/2) =sqrt(1/2) = 1/(sqrt(2))Also, since this is in the 4th quadrant (at about 5 o'clock) cosine is positive.

Finally,

tan(x) = (sin(x))/(cos(x))

So,

tan((- 25pi)/4) = (sin((- 25pi)/4))/(cos((- 25pi)/4)) = (sin(- pi/4))/(cos(- pi/4)) =(- 1/(sqrt(2)))/(1/(sqrt(2))) = (- 1/(sqrt(2)))/(1/(sqrt(2))) = - 1

No calculator needed!