Question

Cos 40° - sin 16° = ​

Answer 1

cos 40°-sin16°=sin50°-sin16°=2sin((50-16)/2)cos((50+16)/2)=

2sin17°cos33°

Answer 2

To calculate the value of the expression $\cos 40^\circ - \sin 16^\circ$, you can use a calculator to find the numerical approximation:

$$\cos 40^\circ - \sin 16^\circ \approx 0.766 - 0.276 \approx 0.49$$

Please note that this is an approximate value rounded to two decimal places. If you need a more precise value, you can use a more accurate calculator or computational tool.