We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:
cot(θ) = (√55)/3
So we know that θ is an acute angle in a right triangle, and we get:
sin(θ) = 3/8
Remember that:
- sin(θ) = (opposite cathetus)/(hypotenuse)
- hypotenuse = √( (opposite cathetus)^2 + (adjacent cathetus)^2)
Then we have:
opposite cathetus = 3
hypotenuse = 8 = √(3^2 + (adjacent cathetus)^2)
Now we can solve this for the adjacent cathetus, so we get:
adjacent cathetus = √(8^2 - 3^2) = √55
And we know that:
cot(θ) = (adjacent cathetus)/(opposite cathetus)
Then we get:
cot(θ) = (√55)/3
If you want to learn more, you can read:
brainly.com/question/15345177
Answer:
Im pretty sure its D
Step-by-step explanation:
Answer:
Draw rise on y-axis from (0,0)-(0,3). Draw run from (0,3) to (4,3). Rise/run=3/4
(-1, -6) is the vertex of that equation. use the number in the brackets and change the signs for the x-value. use the last number outside of the brackets for the y-value
distance : 15 units
coordinates : (7,0) and (-8, 45)
slope:
equation:
the y-intercept of this function:
distance between both y-intercept :
