Answer:
![\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}](https://tex.z-dn.net/?f=%5Ctan2%5Ctheta%3D%5Cpm%5Cdfrac%7B4%5Csqrt%7B2%7D%7D%7B7%7D)
Step-by-step explanation:
Given: ![\sin\theta = \dfrac{1}{3}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%20%3D%20%5Cdfrac%7B1%7D%7B3%7D)
![0\leq \theta \leq \dfrac{\pi}{2}](https://tex.z-dn.net/?f=0%5Cleq%20%5Ctheta%20%5Cleq%20%5Cdfrac%7B%5Cpi%7D%7B2%7D)
Theta lie in first quadrant.
Multiply both sides by 2
![0\leq 2\theta \leq \pi](https://tex.z-dn.net/?f=0%5Cleq%202%5Ctheta%20%5Cleq%20%5Cpi)
2theta lie in I and II quadrant.
is positive in I and negative in II quadrant.
![\sin\theta=\dfrac{1}{3}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D%5Cdfrac%7B1%7D%7B3%7D)
![\cos\theta=\dfrac{2\sqrt{2}}{3}](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%3D%5Cdfrac%7B2%5Csqrt%7B2%7D%7D%7B3%7D)
![\sin2\theta=2\sin\theta\cos\theta](https://tex.z-dn.net/?f=%5Csin2%5Ctheta%3D2%5Csin%5Ctheta%5Ccos%5Ctheta)
![\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}](https://tex.z-dn.net/?f=%5Csin2%5Ctheta%3D2%5Ccdot%20%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%20%5Cdfrac%7B2%5Csqrt%7B2%7D%7D%7B3%7D%3D%5Cdfrac%7B4%5Csqrt%7B2%7D%7D%7B9%7D)
![\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}](https://tex.z-dn.net/?f=%5Ccos2%5Ctheta%3D%5Cpm%20%5Csqrt%7B1-%5Csin%5E22%5Ctheta%7D%3D%5Cpm%5Cdfrac%7B7%7D%7B9%7D)
![\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}](https://tex.z-dn.net/?f=%5Ctan2%5Ctheta%3D%5Cdfrac%7B%5Csin2%5Ctheta%7D%7B%5Ccos2%5Ctheta%7D)
![\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}](https://tex.z-dn.net/?f=%5Ctan2%5Ctheta%3D%5Cpm%5Cdfrac%7B4%5Csqrt%7B2%7D%7D%7B7%7D)
Hence, The value of ![\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}](https://tex.z-dn.net/?f=%5Ctan2%5Ctheta%3D%5Cpm%5Cdfrac%7B4%5Csqrt%7B2%7D%7D%7B7%7D)
Answer:
dont take my word for it but
Step-by-step explanation:
x<-7
Answer:
28
Step-by-step explanation:
First, you start with 11-4, which equals 7.
Then, you multiply 7x8 which equals 56.
Lastly, you divided 56 by 2, getting 28.
Answer:
81
Step-by-step explanation:
9 x 9 = 81
So, 81 is the perfect square.
Answer:
24 is the mode
Step-by-step explanation:
Mode is the number that is most often seen.
18 is seen 1 time
24 is seen 3 times
25 is seen 1 time
37 is seen 2 times
46 is seen 1 time
24 is the mode because it is seen the most often.