Prove that $tan x +cot x=sec x csc x$
Answer
\[\tan x + \cot x=\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}=\frac{\sin ^2 x+\cos^2 x}{\sin x \cos x}\]
\[=\frac{1}{\sin x \cos x}=\frac{1}{\cos x} \cdot \frac{1}{\sin x}\]
\[=\sec x \csc x.\]
Erdos
4.8K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 1850 views
- $2.00
Related Questions
- Can enough pizza dough be made to cover the surface of the earth?
- Calculate the following, if it exists: $\int_{0}^{1} x^a(lnx)^mdx$ , where $a > -1$ and $m$ is a nonnegative integer.
- Calculating Speed and Velocity
- Find $\lim\limits _{n\rightarrow \infty} n^2 \prod\limits_{k=1}^{n} (\frac{1}{k^2}+\frac{1}{n^2})^{\frac{1}{n}}$
- A rectangular garden plot is to be fenced off along the property line.
- Help formulating sine function
- Fermat's method of calculus
- Find the equation of the tangent line through the function f(x)=3x$e^{5x-5} $ at the point on the curve where x=1
