Monday

July 25, 2016
Posted by **Mars** on Tuesday, October 5, 2010 at 12:12am.

t = 7(pi)/4

Can you show me step by step so I can see how this is solved? Also, do I need to graph this first in order to understand or begin the problem? I am trying to self teach - but having problems.

- Trig -
**Henry**, Wednesday, October 6, 2010 at 8:54pmt = 7(pi)/4 Radians.

7(p1)/4 * 180/(pi) = 315 deg,

315 deg. is in 4th quadrant where sine

and tangent are negative.

sin315 = -0.707 = -sqrt(2)/2 = y/r,

x^2 + y^2 = r^2,

x^2 + (-sqrt2)^2 = 2^2,

x^2 + 2 = 4,

x^2 = 2,

x = sqrt(2).

sin315 = y/r = -sqrt(2)/2,

cos315 = x/r = sqrt(2)/2,

tan315 = y/x = -sqrt(2)/sqrt(2) = -1,

csc315 = 1/sin315 = 2/sqrt(2) = 2sqrt2/2 = sqrt2.

sec315 = 1/cos315 = 2/swqrt2 = 2sqrt2/2

= sqrt2.

cot315 = 1/tan315 = 1/-1 = -1.

Notice that no radicals were left in the denominators.

The 6 trig functions in decimal form

are easily found using the calculator:

sin315 = -0.707,

cos315 = 0.707,

tan315 = -1,

csc315 = 1/sin315 = -1.414,

sec315 = 1/cos315 = 1.414,

cot315= 1/tan315 = -1.