91Ó°ÊÓ

If$f\left(\mathrm{θ}\right)=\sin \mathrm{θ}=0.1$,find$f(\mathrm{θ}+\mathrm{π})$

Find the length $s$and area $A$. Round answers to three decimal places.

The point on the unit circle that corresponds to$\mathrm{θ}=\frac{\mathrm{π}}{4}$is$P=$_____________.

Find the exact value of each expression. Do not use a calculator.

$\mathrm{³Ù²¹²ÔÏ€}+\mathrm{²õ¾\pm ²ÔÏ€}$

What is the y-intercept of $y=secx$?

Find the exact value of $\sin {\left(14°\right)}^2+\cos {\left(14°\right)}^2-3$

The angular speed $w$ of an object traveling around a circle of radius $r$is the angle $\mathrm{θ}$(measured in radians) swept out, divided by the elapsed time$t$.

find the exact value of the expression

$\cos (-120°)$

f$\left(x\right)$= sin x

(a) What is the y-intercept of the graph of f ?

(b) For what numbers x, $-\mathrm{π}≤\mathrm{x}≤\mathrm{π}$, is the graph of f

increasing?

(c) What is the absolute maximum of f ?

(d) For what numbers x, $0≤x≤2\mathrm{π}$, does f$\left(x\right)$= 0?

(e) For what numbers x,$-2\mathrm{π}≤\mathrm{x}≤2\mathrm{π}$, does $f\left(x\right)$= 1?

Where does $f\left(x\right)$= -1?

(f) For what numbers x,$-2\mathrm{π}≤\mathrm{x}≤2\mathrm{π}$, does $f\left(x\right)$= $-\frac{1}{2}$

(g) What are the x-intercepts of f ?