![\bf cot(x)-\cfrac{csc^2(x)}{cot(x)}\\\\ -----------------------------\\\\ recall\qquad \begin{array}{llll} \textit{Pythagorean Identities} \\ \quad \\ sin^2(\theta)+cos^2(\theta)=1 \\ \quad \\ \boxed{1+cot^2(\theta)=csc^2(\theta)} \\ \quad \\ 1+tan^2(\theta)=sec^2(\theta) \end{array}\\\\ -----------------------------\\\\ cot(x)-\left[ \cfrac{1+cot^2(x)}{cot(x)} \right]\impliedby \textit{distributing the denominator} \\\\\\ ](/tpl/images/0452/4129/bfe9a.png)
![\bf cot(x)-\left[ \cfrac{1}{cot(x)}+\cfrac{cot^2(x)}{cot(x)} \right]\implies cot(x)-\left[ tan(x)+cot(x) \right] \\\\\\ cot(x)-tan(x)-cot(x)\implies -tan(x)](/tpl/images/0452/4129/a03e9.png)
Perform the subtraction and use the fundamental identities to simplify.
cotx-(csc^2x)/(cotx)...
Mathematics, 13.01.2020 03:31 Perdikaris
Perform the subtraction and use the fundamental identities to simplify.
cotx-(csc^2x)/(cotx)
Answers: 2
Another question on Mathematics
Mathematics, 21.06.2019 20:30
Which inequality statement describes the two numbers on a number line? "? 7 and a number 5 units to the right of ? 7"
Answers: 2
Mathematics, 21.06.2019 20:30
Jason went to an arcade to play video games. he paid $2 for every 11 tokens he bought. he spent a total of $16 on tokens. which equation can be used to determine,t, the number lf tokens jason bought
Answers: 1
Mathematics, 22.06.2019 02:30
The focus of a parabola is (-4,-5) and its directrix is y=-1 find the equation
Answers: 3
Mathematics, 22.06.2019 03:00
Gia opened two savings accounts at two different banks. one account earns an annual 3.4% simple interest, and the other earns half as much. if she deposited $500 in each account, how much total interest will she have earned in 5 years? a. $34.00 b. $25.50 c. $51.00 d. $510.00
Answers: 1
You know the right answer?
Questions
Health, 02.09.2019 15:30
English, 02.09.2019 15:30
Biology, 02.09.2019 15:30
History, 02.09.2019 15:30
Computers and Technology, 02.09.2019 15:30
Biology, 02.09.2019 15:30
Biology, 02.09.2019 15:30
Biology, 02.09.2019 15:30
Biology, 02.09.2019 15:30
Biology, 02.09.2019 15:30
Mathematics, 02.09.2019 15:30
History, 02.09.2019 15:30
English, 02.09.2019 15:30
History, 02.09.2019 15:30
