Sandra1144
Sandra1144 Sandra1144
  • 12-04-2019
  • Mathematics
contestada

If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?

Respuesta :

jdoe0001 jdoe0001
  • 12-04-2019

let's say that sin(θ) = x, then the cos(θ) which is twice the sine has to be 2x, therefore then

[tex]\bf tan(\theta )=\cfrac{sin(\theta )}{cos(\theta )}~~ \begin{cases} sin(\theta )=x\\ cos(\theta )=2x \end{cases}\implies tan(\theta )=\cfrac{x}{2x}\implies tan(\theta )=\cfrac{1}{2}[/tex]

Answer Link

Otras preguntas

Write the expression that shows 3 times the sixth power of 10.
How do different populations maintain community stability and diversity?
If the ratio of bananas to apples is 2:1 and there are 24 apples, how many bananas are there?
Find the inverse of the function y = f(x). write your solution in inverse function notation, f −1(y). y = 0.3x − 16
What type of nonverbal gesture is: "Whoa! What did you just say?" ? How would you describe the nonverbal gesture?
Hi there, can some body tell me how to get the pdf copy of Simmons, George F. Calculus with Analytic Geometry. 2nd ed.
Why is it important for humans to have awareness and choices?
How do you find the circumference and pie of a circle? Please help me I want to know. Please and thank you.
Performance goals are used to
Which constitutional amendment is the so-called states’ rights amendment?