anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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Nnesha
  • Nnesha
|dw:1443403087498:dw| sin_is__positive__in_2nd_quadrant sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent
Nnesha
  • Nnesha
sin=opposite/hyp so where_you_should_write_4__and_5_??
Nnesha
  • Nnesha
which_side_of_right_triangle_is_4?

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anonymous
  • anonymous
so is 4 the side thats touching the x axis and 5 the hypotenuse? @Nnesha
Nnesha
  • Nnesha
|dw:1443404056824:dw| side_that_touch_the_angle_is_adjacent
anonymous
  • anonymous
oh right sorry thank you!
Nnesha
  • Nnesha
now_use_the_pytagorean_thorea_to_find_3rd_side
anonymous
  • anonymous
so knowing that i just find the rest as usual?
anonymous
  • anonymous
3 right?
Nnesha
  • Nnesha
yes_right_
Nnesha
  • Nnesha
|dw:1443404178257:dw|
anonymous
  • anonymous
so the cosine would be 3?
Nnesha
  • Nnesha
cos=adjacent/hyp
Nnesha
  • Nnesha
and just_sin_is_positive_in_2nd_quadrantt_ other_ratios_would_be_NEGATIVE_
Nnesha
  • Nnesha
BRB
anonymous
  • anonymous
so tan would be 4/3 and cot would be 3/4?
Nnesha
  • Nnesha
right remember the CAST rule |dw:1443406090733:dw|
Nnesha
  • Nnesha
and we are in 2nd quadrant so tan cos would be negative
Nnesha
  • 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

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