When Tana = 1 / 3, Sina =?

If you draw a right triangle, set an angle as angle a, set the length of the opposite side of angle a as 1, set the side next to it as 3, and the hypotenuse is the root sign 10

tana*sina/tana-sina=?

Hello!
The original formula = Sina / (1-sina / Tana) [the numerator denominator is the same as that of Tana]
=Sina / (1-cosa) [because Tana = Sina / cosa, that is, Sina / Tana = cosa]

Given Sina = - 2cosa, find the value of sina, cosa and Tana

Sin ^ 2A + cos ^ 2A = 1, Sina = - 2cosa, substitute Sina into the first formula. Calculate cosa = (radical 5) / 5, Sina = 1-cosa. Tana = Sina / cosa

RELATED INFORMATIONS

1. Given the function f (x) = 4-x + 1: X-1 under the root sign, the domain of definition of F (x) and the value of F (2) are obtained
2. The definition and range of function y = - 2cosx + 1
3. g（x）=2x+1
4. It is known that y = f (x) is an even function defined on R When x is greater than or equal to 0, f (x) = x ^ 2-2x. Find the analytic expression of F (x) when x is less than or equal to 0
5. What's the parity of sine function and cosine function? I don't understand!
6. How to judge the parity of function quickly I don't know if it's our teacher's original creation. It's through the addition and subtraction between X coefficient and constant odd and even power. For example, y = x + 1 is a non odd and non even function, X is a subtraction of 1 at a time, constant is a = odd addition and subtraction, odd = odd principle, and odd x = odd = even principle
7. On the knowledge of linear function, inverse proportion function and quadratic function It includes the knowledge points that y increases with the increase of X and the quadrant of the function image,
8. Are all logarithmic functions non odd and non even
9. The power function in the domain of definition is an increasing function, the exponent is greater than 0, and the decreasing function is less than 0,
10. Can the power function y = x ^ a take 0
11. As shown in the figure, the coordinates of a and B are a (2,1) and B (5,0) respectively. Find the area of △ OAB
12. The problem of positive proportion function and inverse proportion function There are some points (x1, Y1) and (X2, Y2) on the inverse scale function image. If x1y2 is known, what quadrant does the function image pass through?
13. Y = (LNX) x power Use the derivative of logarithm to find the derivative of the following function
14. If the function f (x) = sin ω x + cos ω x (ω≠ 0) has f (π 6 + x) = f (π 6 − x) for any real number x, then the value of F (π 3 − π ω) is equal to () A. -1B. 1C. 2D. −2
15. Are exponential and logarithmic functions symmetric with respect to the line y = x, regardless of whether a is greater than 1 or less than 1?
16. Let the image of exponential function f (x) pass (2,4), find the explanatory formula of F (x) (2) and solve the inequality f (1-x) > √ (1 / 2)
17. It is known that when x belongs to (1,2), the inequality loga (A / x) - x ^ 2 + 2x greater than or equal to 0 holds, and the range of a is obtained
18. Given that the solution set of inequality loga (1-1 / x + 2) greater than 0 is negative infinity to - 2, then the value range of a is
19. It is known that proposition p: there exists x belonging to R such that x ^ 2-2ax + 2A ^ 2-5A + 4 = 0; proposition q: the curve X ^ 2 / 3 + y ^ 2 / A-3 = 1 is hyperbola. If "P or Q" is true and "P and Q" is false, the value range of real number a is obtained
20. Positive and negative of exponential function What does it mean that the same value of the bottom truth is positive and the different value of the bottom truth is negative