Inverse Trig Exact Values
The exact value of sin-1(1).
What is
\frac{\pi}{2}
The exact value of
sin(\arcsin(\frac{-1}{2}))
What is
\frac{-1}{2}
On
[0,2\pi) , the largest solution to
cosx=\frac{\sqrt2}{2]
What is
\frac{7pi}{4}?
In radians, the smallest positive solution to tan^2\theta=1 .
What is
pi/4?
On the interval [-2pi, 2pi] , the sum of the solutions to
What is
0?
The exact value of
\cos^{-1}(-\frac{1}{2})
What is
\frac{2\pi}{3}
The
\arccos(\cos\frac{8pi}{9})
What is
\frac{8\pi}{9}
On [-\pi,\pi) , the least of the two solutions to
\tan x = -1
What is
-\frac{\pi}{4}
The smallest positive solution to
2sin2x=1.
What is
pi/12?
On the interval [0, 2pi) , the number of solutions to the equation sin4x=-1.
What is
4?
The exact value of
\tan^{-1}\sqrt{3]
What is
\frac{\pi}{3}?
The exact value of
\sin(cos^{-1}x)
What is
\sqrt{1-x^2}
On [0,2\pi) , the larger solution to the equation
\sin x=\frac{2}{3}
What is
\pi-sin^{-1}(\frac{2}{3})?
The sum of the solutions to 1-csc^2\theta=-3 on the interval [0^{\circ}, 360^{\circ}) .
What is
720^{\circ}?
The sum of the solutions to cosxtanx=cosx on [0,2\pi).
What is
\frac{3pi}{2}?
The exact value of
\sec^{-1}(-\frac{2sqrt3}{3})
What is
\frac{5\pi}{6}?
The exact value of
\arctan(tan(\frac{5\pi}{6}))
What is
-\frac{\pi}{6}
The smallest positive solution to
sin2x=1
What is
\frac{pi}{4}?
If sinA+SinB+sinC+3=0 , the value of cosA+cosB+cosC+10
What is 10?
If sec \theta+tan\theta=3 and \theta is in QI, the value of \cos\theta .
What is
3/5?
The exact value of
\frac{\arcsin(-1)}{\arccos(0)}
What is -1?
The ? in the expression below:
\sec^-1(x)=\cos^{-1}(?)
What is
\frac{1}{x}?
On [-\pi,\pi) the least solution to \tan t = -2
What is
\tan^{-1}(-2)?
All solutions to sin x = cosx in simplest form.
What is
\frac{\pi}{4} + n\pi?
On the interval [0,2\pi) , the sum of the solutions to
\sinx=cos(2x)
What is
\frac{5\pi}{2}