# How do you evaluate #cos (pi/6) cos (pi/3) - sin (pi/6) sin (pi/3)#?

Zero

Apply the trig identity: cos (a + b) = cos a.cos b - sin a.sin b #cos (pi/6)cos (pi/3) - sin (pi/3)sin (pi/6) = cos (pi/3 + pi/6) = = cos (pi/2) = 0#

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- In a right triangle ABC, right angled at B, a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. How do you prove that the tangent to the circle at P bisects BC?
- How do you convert the angle #2^circ 12'# in decimal degree form?
- How do you find the exact value of the sine, cosine, and tangent of the number 2pie/3, without using a calculator?
- How do you evaluate #Sin(pi/2) + 6 cos(pi/3)#?
- If #2sinA = 1#, with #A# being an angle in quadrant #1#, what is the value of #cotA#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7