Mathematics, 27.09.2019 17:00 maricelajacinto3379
Can anyone me solve a trigonomic identity problem and also me how to do it step by step?
it's ((cos theta) * (cot theta))/(1-sin theta) - 1 = csc theta
Answers: 1
![\bf \cfrac{cos(\theta )cot(\theta )}{1-sin(\theta )}-1=csc(\theta )\\\\ -------------------------------\\\\ \cfrac{cos(\theta )\cdot \frac{cos(\theta )}{sin(\theta )}}{1-sin(\theta )}-1\implies \cfrac{\frac{cos^2(\theta )}{sin(\theta )}}{\frac{1-sin(\theta )}{1}}-1\implies \cfrac{cos^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{1-sin(\theta )}-1 \\\\\\ \cfrac{cos^2(\theta )}{sin(\theta )[1-sin(\theta )]}-1\implies \cfrac{cos^2(\theta )-1[sin(\theta )[1-sin(\theta )]]}{sin(\theta )[1-sin(\theta )]}](/tpl/images/0268/4723/d2616.png)
![\bf \cfrac{cos^2(\theta )-1[sin(\theta )-sin^2(\theta )]}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{cos^2(\theta )-sin(\theta )+sin^2(\theta )}{sin(\theta )[1-sin(\theta )]} \\\\\\ \cfrac{cos^2(\theta )+sin^2(\theta )-sin(\theta )}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{\underline{1-sin(\theta )}}{sin(\theta )\underline{[1-sin(\theta )]}} \\\\\\ \cfrac{1}{sin(\theta )}\implies csc(\theta )](/tpl/images/0268/4723/7f957.png)
Another question on Mathematics
Mathematics, 22.06.2019 01:00
Acredit union pays 5% annual interest, compounded daily, on saving deposits. find the value after one year of $500 deposited in this account. a-$20.40 b-$25.64 c-$520.40 d-$525.64
Answers: 1
Mathematics, 22.06.2019 01:20
What is the absolute value of the complex number -4- 2 v14 3.15 14 18
Answers: 1
Mathematics, 22.06.2019 04:00
Order 1100000, 314000, 965000, 1890000, from least to greatest.
Answers: 1
You know the right answer?
Can anyone me solve a trigonomic identity problem and also me how to do it step by step?
Questions
Chemistry, 16.06.2020 07:57
Mathematics, 16.06.2020 07:57
Mathematics, 16.06.2020 07:57
Mathematics, 16.06.2020 07:57
Mathematics, 16.06.2020 07:57
