Mathematics, 11.11.2019 14:31 prynnie
Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)
Answers: 2
![\bf \textit{so, let's do the left-hand-side}\\\\ cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)] \\\\\\ cot(x)[1^2+2tan^2(x)+tan^4(x)] \\\\\\ cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x) \\\\\\ cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)} \\\\\\ cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}](/tpl/images/0369/0535/696bf.png)
Another question on Mathematics
Mathematics, 21.06.2019 21:00
Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.
Answers: 1
Mathematics, 21.06.2019 23:30
Sally deposited money into a savings account paying 4% simple interest per year.the first year,she earned $75 in interest.how much interest will she earn during the following year?
Answers: 2
Mathematics, 22.06.2019 00:20
Find the power set of each of these sets, where a and b are distinct elements. a) {a} b) {a, b} c) {1, 2, 3, 4} show steps
Answers: 1
Mathematics, 22.06.2019 04:30
In 2014, the three largest economies in the world were (listed in order, from largest): a) the u.s., china, germany. b) the u.s., china, japan. c) china, the u.s., japan. d) china, the u.s., germany.
Answers: 2
You know the right answer?
Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)...
Questions
Physics, 19.10.2019 04:40
History, 19.10.2019 04:40
Biology, 19.10.2019 04:40
Biology, 19.10.2019 04:40
Mathematics, 19.10.2019 04:40
History, 19.10.2019 04:40
Social Studies, 19.10.2019 04:40
Biology, 19.10.2019 04:40
Mathematics, 19.10.2019 04:40
Mathematics, 19.10.2019 04:40
