Answer:
See below
Step-by-step explanation:
Remember SOHCAHTOA
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
In this case we use TOA.
tan(71) = x/34
x = tan(71) * 34
x = 98.7
Answer:
1/2
Step-by-step explanation:
According to pythagoras theorem;
(sinx)²+(cosx)² = 1
Given that sinФ = √3/2
Substitute into the formula
(√3/2)²+(cosx)² = 1
3/4+(cosx)² = 1
(cosx)² = 1 - 3/4
(cosx)² = 1/4
cos x = √1/4
cos x = 1/2
Hence the value of cosФ is 1/2
Take two ordered pairs along the line and calculate the change in y over change in x or rise over run.
(0,-5)(3,-4)
-4-(-5) / (3-0)
1/3
Final answer: 1/3
