The exact values of the remaining <u>five</u> trigonometric functions of theta are
- sinθ = √3/2
- cosecθ = 2/√3
- cosθ = -1/2
- secθ = -2
- cotθ = -1/√3
Since tanθ = -√3.
The remaining <u>five</u> trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining <u>five</u> trigonometric functions of theta are
- sinθ = √3/2
- cosecθ = 2/√3
- cosθ = -1/2
- secθ = -2
- cotθ = -1/√3.
Learn more about trigonometric functions here:
brainly.com/question/4515552
Answer:
10m
Step-by-step explanation:
Use the area of triangle:
Area of triangle =
1/2 × b × 3 = 15
b × 3 = 30
b = 30/3
b = 10
Entire distance is
25/2(1+1/4+(1/4*1/2))
=25/2(1+1/4+1/8)
=25/2(8/8+2/8+1/8)
=25/2(11/8)
=275/16
=17 3/16 miles [assuming you need fractions as answers]
Answer:
7/4 i really hope its these one or im failimg my quiz
Answer:
Step-by-step explanation:
You could use the 'brute force' method, which would be to simply write out all the possible subsets. We could avoid repetition within the subsets.
{2} would be the first subset; it contains one even number.
Next would be {2, 4}, next {2, 4, 6} ... {2, 4, 6, ... 94, 96, 98, 100}. Provided that we correctly understand what this problem is asking for, writing out and then counting all these subsets should answer the question.
