Question

2cos240°+3tg135° =

Answer 1

2cos(180+60)+3tg(45+90)=-2cos60-3ctg45=-1-3=-4

Answer 2

To find the value of 2cos(240°) + 3tan(135°), you can follow these steps:

1. Calculate cos(240°): cos(240°) is equivalent to cos(240° - 180°), and the cosine function is negative in the third quadrant (240° - 180° is 60°, which is in the first quadrant). So, cos(240°) = -cos(60°). The cosine of 60° is 1/2, so cos(240°) = -(1/2) = -1/2.

2. Calculate tan(135°): tan(135°) is equivalent to tan(135° - 90°), and the tangent function is negative in the second quadrant (135° - 90° is 45°, which is in the first quadrant). So, tan(135°) = -tan(45°). The tangent of 45° is 1, so tan(135°) = -1.

Now, you can plug these values into your expression:

2cos(240°) + 3tan(135°) = 2*(-1/2) + 3*(-1) = -1 - 3 = -4

So, 2cos(240°) + 3tan(135°) = -4.