Answer:
5.49 x 10^-3
Step-by-step explanation:
Answer:
70 + 4D
Step-by-step explanation:
- (2 x 100) + (7 x 10) + (4 x D) + (2 x 100)
- (200) + (70) + 4D + 200
-200 + 70 +4D + 200
-130 + 4D + 200
70 + 4D
Answer:
hhhhhhhh
Step-by-step explanation:
Answer:
Using trigonometric ratio:
![\sec \theta = \frac{1}{\cos \theta}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B%5Ccos%20%5Ctheta%7D)
![\tan \theta = \frac{\sin \theta}{\cos \theta}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csin%20%5Ctheta%7D%7B%5Ccos%20%5Ctheta%7D)
From the given statement:
and sin < 0
⇒
lies in the 3rd quadrant.
then;
![\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B-%5Cfrac%7B4%7D%7B5%7D%7D%20%3D%20-%5Cfrac%7B5%7D%7B4%7D)
Using trigonometry identities:
Substitute the given values we have;
![\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cpm%5Csqrt%7B1-%28%5Cfrac%7B-4%7D%7B5%7D%29%5E2%20%7D%20%3D%5Cpm%5Csqrt%7B1-%5Cfrac%7B16%7D%7B25%7D%7D%20%3D%5Cpm%5Csqrt%7B%5Cfrac%7B25-16%7D%7B25%7D%7D%20%3D%5Cpm%20%5Csqrt%7B%5Cfrac%7B9%7D%7B25%7D%20%7D%20%3D%20%5Cpm%5Cfrac%7B3%7D%7B5%7D)
Since, sin < 0
⇒![\sin \theta = -\frac{3}{5}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20-%5Cfrac%7B3%7D%7B5%7D)
now, find
:
![\tan \theta = \frac{\sin \theta}{\cos \theta}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csin%20%5Ctheta%7D%7B%5Ccos%20%5Ctheta%7D)
Substitute the given values we have;
![\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%20%3D%20%5Cfrac%7B-%5Cfrac%7B3%7D%7B5%7D%20%7D%7B-%5Cfrac%7B4%7D%7B5%7D%20%7D%20%3D%20%5Cfrac%7B3%7D%7B5%7D%5Ctimes%20%5Cfrac%7B5%7D%7B4%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Therefore, the exact value of:
(a)
![\sec \theta =-\frac{5}{4}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D-%5Cfrac%7B5%7D%7B4%7D)
(b)
![\tan \theta= \frac{3}{4}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%20%5Cfrac%7B3%7D%7B4%7D)
Answer:
-7
Step-by-step explanation:
i will :)