We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)
<h3>How to solve Trigonometric Identities?</h3>
We want to prove the trigonometric identity;
[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ
The left hand side can be expressed as;
[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]
⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]
Taking the LCM and multiplying gives;
(tan³θ - 1)/(tanθ(tanθ - 1))
This can also be expressed as;
(tan³θ - 1³)/(tanθ(tanθ - 1))
By expansion of algebra this gives;
[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]
Solving Further gives;
(sec²θ + tanθ)/tanθ
⇒ sec²θ * cotθ + 1
⇒ (1/cos²θ * cos θ/sin θ) + 1
⇒ (1/cos θ * 1/sin θ) + 1
⇒ 1 + (secθ * cosec θ)
Read more about Trigonometric Identities at; brainly.com/question/7331447
#SPJ1
Answer:
5pi
Step-by-step explanation:
Answer:
Her mistake was to change the inequality sign from ≥ to ≤.
The sign only changes when you multiply or divide both sides of an inequality by a negative number.
Total= Car Cost + (Car Cost * Tax %)
Total= $16,800 + ($16,800 * 6.25%)
convert % to decimal form; divide % by 100
Total= $16,800 + ($16,800 * 0.0625)
multiply inside parentheses
Total= $16,800 + $1,050
Total= $17,850
ANSWER: The total cost for the used car with tax is $17,850.
Hope this helps! :)
Answer: 78.2
Step-by-step explanation:
You can figure out by making proportions so 5/17=23/x and then solve for x
