Answer:
Check photo.
Step-by-step explanation:
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
If Morgan drinks 4 glasses of 12 ounces of water, then she drinks 48 fluid ounces throughout the day. There are 16 ounces in one pint. That means, Morgan drinks 3 pints of water!
Hey there!
“Which expression is equivalent to b + b – 0.56b?”
• “b” or any other letter value is considered an “unknown number” so usually we label it/them as an invisible 1
• COMBINE the LIKE TERMS
(b + b – 0.56b)
(1b + 1b – 0.56b)
1b + 1b = 2b
2b – 0.56b = 1.44b
• Therefore, b + b – 0.56b is equivalent to 2b + 0.56b
Possible answer that you could be looking for: 2b + 0.56b ☑️
Good luck on your assignment and enjoy your day!
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