Inverse Trig
Evaluate:
arcsin(sin(-\frac{pi}{4}))
-\frac{pi}{4}
How many triangles can be formed given
\angleA=20^(circ), a=5, b=12
Two
Given sin\theta=7/10, cot\theta>0 evaluate cos(2\theta)
\frac{1}{50}
Evaluate cos((5pi)/12)
(sqrt6-sqrt2)/4
Evaluate:
arccos(cos(\frac{8pi}{7}))
\frac{6pi}{7}
How many triangles can be formed given
\angleA=150^(circ), a=4, b=8
Zero (obtuse!)
Evaluate sin[2cos^-1(-3/5)]
-24/25
Evaluate sin(pi/9)cos(pi/18)+cos(pi/9)sin(pi/18)
1/2
Evaluate in terms of 'x':
sec(arcsin(\frac{3}{x}))
\frac{|x|}{\sqrt{x^2-9}
Find the area of a triangle with sides 6, 10, 11 rounded to three decimals.
29.765
Given sec\theta=4 , csc\theta <0 evaluate tan(2\theta)
sqrt15/7
Given cot(a)=5/12, sin(a)<0 ; cos(b)=3/5, sin(b)<0 evaluate sec(a-b)
65/33
State the domain and range of
f(x)=csc(arctan(4x))
D:(\-infty,0)\cup(0,\infty)
R:(\-infty,-1)\cup(1,\infty)
Note: The domain does not exclude 0 due to the arctan function, but instead because the cosecant function is undefined when the input is 0. csc(arctan(4*0))=csc(0)="undefined"
Yogi wants to measure a tree. He measures the angle of elevation to the tree from where he is standing to be 78^(circ) . He walks forward 7 feet and measures the angle to now be 82^(circ) . What is the height of the tree to three decimals?
97.201 feet
Given tan\theta=\frac{4}{3}, sin\theta<0 evaluate:
sin(4\theta)
-336/625
Evaluate sin[arccos(\frac{5}{13})+arcsin(\frac{12}{13})]
\frac{120}{169}