cosθ = cotθ/cscθ is a true statement. The answer is option B
<h3>How to determine which of the trigonometric statements are true?</h3>
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles
A. tan²θ = 1 - sec²θ
tan²θ = 1 - sec²θ
tan²θ = 1 - 1/cos²θ (Note: sec²θ = 1/cos²θ)
tan²θ = (cos²θ- 1)/cos²θ
tan²θ = -sin²θ/cos²θ (Note: cos²θ- 1 = -sin²θ)
tan²θ = -tan²θ
This statement is not true
B. cosθ = cotθ/cscθ
cosθ = cotθ/cscθ
cosθ = (1/tanθ) / (1/sinθ)
cosθ = (cosθ/sinθ).sinθ
cosθ = cosθ
This statement is true
C. 1/sec²θ = sin²θ + 1
1/sec²θ = 1/(1/cos²θ)
1/sec²θ = cos²θ
1/sec²θ = 1 - sin²θ
This statement is not true
D. sec²θ - 1 = 1/cot²θ
sec²θ - 1 = 1/cos²θ - 1
sec²θ - 1 = (1-cos²θ)/cos²θ
sec²θ - 1 = sin²θ/cos²θ
sec²θ - 1 = tan²θ
This statement is not true
E. sinθ cscθ = tan θ
sinθ cscθ = tan θ
sinθ cscθ = sinθ (1/sinθ)
sinθ cscθ = 1
This statement is not true
Therefore, the true statement is cosθ = cotθ/cscθ
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Answer:
the answer is C
Step-by-step explanation:
Answer:
- 30 sets of model B
- 20 sets of model A
Step-by-step explanation:
To maximize profit, the greatest possible number of the most profitable item should be manufactured. Remaining capacity should be used for the less-profitable item.
Up to 30 of model B, which has the highest profit, can be made each day. The remaining amount (20 sets) of the daily capacity of 50 sets should be used to make model A sets.
I had a very sweet dog, her name was Lilac. I had her for 13 years and unfortunately she passed away. This shows that no one object is permanent
The interest rate helps you grow your money even if you do not put any more money in the bank yourself. For example, if your put $100 in an account that has 4% interested compounded daily, you would have $148 in a month.
