## SugarRainbow 2 years ago without using a calculator find sin beta and cos beta if tan beta=3/4 and sin beta= >0.

1. satellite73

think of a 3 - 4 - 5 right triangle, take the appropriate ratios

2. SugarRainbow

how did you get 3-4-5?

3. satellite73

|dw:1347251372575:dw|

4. SugarRainbow

oh wait isn't tangent like the adjacent angles or something?

5. satellite73

you have tangent it $$\frac{3}{4}$$ draw the above triangle, you get the hypotenuse is 5 either by pythagoras or by memory

6. satellite73

no, it is not adjacent angles. if you are using right triangle trig, tangent is the length of the "opposite" side over the "adjacent" side

7. SugarRainbow

okay umm so whats sin?