## anonymous one year ago PLEASE HELP QUICK WILL FAN AND GIVE A MEDAL Find the exact value of each of the remaining trigonometric functions of θ. sinθ=4/5 , θ in quadrant II

1. Nnesha

2. Nnesha

sin=opposite/hyp so where_you_should_write_4__and_5_??

3. Nnesha

which_side_of_right_triangle_is_4?

4. anonymous

so is 4 the side thats touching the x axis and 5 the hypotenuse? @Nnesha

5. Nnesha

6. anonymous

oh right sorry thank you!

7. Nnesha

now_use_the_pytagorean_thorea_to_find_3rd_side

8. anonymous

so knowing that i just find the rest as usual?

9. anonymous

3 right?

10. Nnesha

yes_right_

11. Nnesha

|dw:1443404178257:dw|

12. anonymous

so the cosine would be 3?

13. Nnesha

14. Nnesha

15. Nnesha

BRB

16. anonymous

so tan would be 4/3 and cot would be 3/4?

17. Nnesha

right remember the CAST rule |dw:1443406090733:dw|

18. Nnesha

and we are in 2nd quadrant so tan cos would be negative

19. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @faariat so tan would be 4/3 and cot would be 3/4? $$\color{blue}{\text{End of Quote}}$$ yes right but since it's in 2nd quadrant so tan is negative and cot neg