naye2472 naye2472
  • 27-02-2022
  • Mathematics
contestada

If sin theta = 1/3 what are the values of cos theta and tan theta?

Respuesta :

zsm2800 zsm2800
  • 27-02-2022

Answer:

[tex]\cos\theta = \pm\frac{2\sqrt{2}}{3}\\\tan\theta=\pm\frac{\sqrt{2}}{4}[/tex]

Step-by-step explanation:

sinθ = 1/3

[tex]\cos\theta=\pm\sqrt{1-\cos^2\theta} = \pm\sqrt{1-\frac{1}{9}}=\pm\sqrt\frac{8}{9}=\pm\frac{2\sqrt{2}}{3}[/tex]

[tex]\tan\theta=\frac{\sin\theta}{\cos\theta}=\pm\frac{1}{2 \sqrt{2}}=\pm\frac{\sqrt{2}}{4}[/tex]

Answer Link

Otras preguntas

A sales slip shows that $1,500 in merchandise has been sold and the sales tax rate is 4%. Generate the cash receipt's data.
Place the numbers in orderfrom ledst to gregtest.4.57 .895 | 90.4 45.0​
What centuries was the Industrial Revolution?
I need help I cannot get the answer
There are 12 tennis balls that need to be packaged equally into 4 cans
whats the differnece between socialism and communism
#18 help pls extra points
Which of the transactions listed here could be made into a recurring transaction? Select as many as are correct.(Select all that apply)An expenseA customer paym
Ralph Chase plans to sell a piece of property for ​$180000. He wants the money to be paid off in two waysminusa ​short-term note at 10​% interest and a​ long-te
Need help with this problem