Answer:
The correct option is B)
and ![tan\theta=\frac{\sqrt{5}}{2}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D)
Step-by-step explanation:
given ![cos\theta=-\frac{2}{3}](https://tex.z-dn.net/?f=cos%5Ctheta%3D-%5Cfrac%7B2%7D%7B3%7D)
Since, ![cos\theta=\frac{base}{hypoteneous}](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cfrac%7Bbase%7D%7Bhypoteneous%7D)
it means prependicular of right angled triangle can be calculated by pythagoras theorem as:
base² + prependicular² = hypoteneous²
2² + prependicular² = 3²
4 + prependicular² = 9
prependicular² = 9 - 4
prependicular² = 5
prependicular = √5
Since, ![sin\theta=\frac{prependicular}{hypoteneous}](https://tex.z-dn.net/?f=sin%5Ctheta%3D%5Cfrac%7Bprependicular%7D%7Bhypoteneous%7D)
![sin\theta=\frac{\sqrt{5}}{3}](https://tex.z-dn.net/?f=sin%5Ctheta%3D%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B3%7D)
Since, ![tan\theta=\frac{prependicular}{base}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cfrac%7Bprependicular%7D%7Bbase%7D)
![tan\theta=\frac{\sqrt{5}}{2}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D)
Hence, the correct option is B)
and ![tan\theta=\frac{\sqrt{5}}{2}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D)
Answer:
9/16
Step-by-step explanation:
simply, R(x)=2x as a function of x.
I’m also still at finding answer so keep calm and I will give answer