# comprehension check for derivatives of trigonometric functions: a) true or false: if fprime(theta) = -sin(theta), then f(theta) = cos(theta). b) true or false: If theta is one of the non right angles in a right triangle and ЗІЛsin(theta) = 2/3, then the hypotenuse of the triangle must have length 3.

Question
comprehension check for derivatives of trigonometric functions:
a) true or false: if $$\displaystyle{f}{p}{r}{i}{m}{e}{\left(\theta\right)}=-{\sin{{\left(\theta\right)}}},{t}{h}{e}{n}{f{{\left(\theta\right)}}}={\cos{{\left(\theta\right)}}}.$$
b) true or false: $$\displaystyle{I}{f}\theta$$ is one of the non right angles in a right triangle and ЗІЛsin(theta) = 2/3ZSK, then the hypotenuse of the triangle must have length 3.

2020-11-25

### Relevant Questions

Are triangles necessarily congruent, is:
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b) Whether the statement, " the graphs of $$\displaystyle{\left[{r}{\cos{\theta}}={4}\ {\quad\text{and}\quad}\ {r}{\sin{\theta}}=\ -{2}\right]}$$ intersect exactly once " is true or false.
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d) Whether the statement, " the point $$\displaystyle{\left[\begin{array}{cc} {3}&{\frac{{\pi}}{{{2}}}}\end{array}\right]}{l}{i}{e}{s}{o}{n}{t}{h}{e}{g}{r}{a}{p}{h}{o}{f}{\left[{r}={3}{\cos{\ }}{2}\ \theta\right]}$$ " is true or false.
e) Whether the statement, " the graphs of $$\displaystyle{\left[{r}={2}{\sec{\theta}}\ {\quad\text{and}\quad}\ {r}={3}{\csc{\theta}}\right]}$$ are lines " is true or false.
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