Question

Evaluate : sin (10°). sin (30°)-sin (80°)- sin (60°) - sin (0°)​

Answer 1

sin (10°). sin (30°) - sin (80°) - sin (60°) - sin (0°)​ is sin (10°). ($\dfrac{1}{2}$) - sin (80°) - $\dfrac{\sqrt{3}}{2}.$

Step-by-step explanation:

We have,

sin (10°). sin (30°) - sin (80°) - sin (60°) - sin (0°)​

To find, the value of sin (10°). sin (30°) - sin (80°) - sin (60°) - sin (0°)​ = ?

∴ sin (10°). sin (30°) - sin (80°) - sin (60°) - sin (0°)​

= sin (10°). ($\dfrac{1}{2}$) - sin (80°) - $\dfrac{\sqrt{3}}{2}$ - 0

[ ∵ sin 30° = $\dfrac{1}{2}$, sin 60° = $\dfrac{\sqrt{3}}{2}$, sin 0° = 0]

= sin (10°). ($\dfrac{1}{2}$) - sin (80°) - $\dfrac{\sqrt{3}}{2}$

Hence, sin (10°). sin (30°) - sin (80°) - sin (60°) - sin (0°)​ is sin (10°). ($\dfrac{1}{2}$) - sin (80°) - $\dfrac{\sqrt{3}}{2}$.

Answer 2

Answer: 0

Step-by-step explanation: the value of sin 0 is 0 . so when it will be multiplied by all other values, so zero multiply by any no. or value is zero. So the ans will be zero