Complete question is;
Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4).
Answer:
Sin θ = -4/√41
Cos θ = -5/√41
tan θ = 4/5
Cosec θ = (√41)/-4
Sec θ = (√41)/-5
Cot θ = 5/4
Step-by-step explanation:
Now, we are given the point (-5, -4)
These are x and y points.
They will form a triangle and we know that from pythagoras theorem;
x² + y² = r²
Where r is the distance between the point and the origin
Thus;
r² = (-5)² + (-4)²
r² = 25 + 16
r = √41
So, y is the opposite side of the triangle while x is the adjacent side with r being the hypotenuse.
Thus, the trigonometric ratios are;
Sin θ = opp/hyp = -4/√41
Cos θ = adj/hyp = -5/√41
tan θ = opp/adj = -4/-5 = 4/5
Cosec θ = 1/Sin θ = 1/(-4/√41) = (√41)/-4
Sec θ = 1/cos θ = 1/(-5/√41) = (√41)/-5
Cot θ = 1/tan θ = 1/(4/5) = 5/4
Answer:
.72p
Step-by-step explanation:
1p equals the original price
100 percent of p
we are reducing it by 28 percent, which means only 72 percent of p will remain
72 percent or .72
.72p
Answer:
(d) -11
Step-by-step explanation:
The sum of the acute angles of a right triangle is 90°. (That makes the sum of all angles be 180°, as it is for any triangle.)
65° +(36 +x)° = 90°
x = 90 -101 . . . . . . . . divide by °, subtract 101
x = -11
I believe the answer is 375
Answer:
29/69 (= 0.42)
Step-by-step explanation:
there are several ways to do this, one way is to use fractions:
Expressing each decimal in improper fractions:
14.5 = 14 1/2 = 29/2
34.5 = 34 1/2 = 69/2
Hence,
14.5 ÷ 34.5
= 29/2 ÷ 69/2
= 29/2 x 2/69
= 29/69 (answer)
If you need the answer in decimal, you can use long division to do 29÷69 and you will get 0.42 (nearest hundredth)