honors pre-calculus
if sin A= 0.4321 what is the tangent of the supplement of angle A?
--0.4791
tan (sin^-1 (-3/5)) equals
-3/4
in the figure if cos ø= 2/7 then tanα=
0.3
The value of tan(cos^-1√2/2) is
1
tan 15/cot 75=
1
cos15° =
1/2√(2+√3)
in degrees, 11π/15 equals
132
if sin A= 0.8634 and tan A= --1.5258, angle A=
2.15
sin 3ø=
3sinø--4sin^3 ø
in triangle abc, a =x, b=3x+2, c=12 and angle c=60. Find x
4/7 and 2
If cosx-2sinx=1 and sinx=-4/5 then angle x may be in quadrant
III only (3 only)
The period of the graph y=3cos2x is
π
the phase shift of the graph of y=--3cos (2x--π/3) is
π/6
if, in triangle ABC, if sinA=1/3 and sin B=1/4, sin C equals
(2√2 + √15)/12
in simplest radical form tan 75=
(3+√3)/(3-√3)
The graph of the function y=2sin(1/2)x passes through the point whose coordinates are
(π,2)
sin 15 =
(√2-√3)/2
the value of cos 10*cos20 -- sin10*sin20 is
*****??????
log(subscript 2)(cos π/3)=
--1
if sinA=3/5, 90degrees≤A≤180 degrees, cosB=1/3, 270degrees ≤ B ≤ 360, sin (A+B)=
0.954
(sinø + cosø)^2 =
1 + sin2ø
(sinø+cosø)^2
1 + sin2ø
if tan x=3, the numerical value of √csc x is
1.03
the area of triangle ABC=12√3, a=6 and b=8 Side C equals
2√37 or 2√13
The sides of a triangle are in a ratio of 4:5:6. The cosine of the smallest is...
3/4
the period of the function: y=2 tan x/3 is
3π
Expressed in radians, an angle of 108° is equal to
3π/5
the maximum value of 2+3sinx is
5
if a sector of a circle has an arc length of 2π and an area of 6π, what is the radius of the circle?
6
how many values of x<2π makes tan 4x=√3
8
in the figure, r sin ø =
b
which of the following is equivalent to sin (A+30) + cos (A+60) for all values of A?
cos A
for each value of ø, sin (90 + ø)=
cos ø
as x increases from -π/4 to 3π/4, the value of cos x
increases then decreases
solve cos^2x-cosx-6=0 on the interval 0<x<360
no solutions
triangle ABC is right angled at B. If a=k-1 and b=R+1, an expression for sec A is
none of these
which of the following is equal to 2+tan^2 55
none of these
an equation in polar form equivalent to x^2+y^2-4x+2=0 is
r^2=4cosø+2
sin ø +1/ sec ø+ tan ø=
sec ø
sin^-1 .8 + cos^-1 .8=
sin^-1 (1)
which of the following lines is an asymptote to the curve y-tanπx
x=-1/2
if 2 cos^2ø-5 cos ø +2=0 then ø could be which of the following?
π/3
(tan 140+ tan 70)/(1-tan140 tan 70)=
√3/3
The angles of a triangle are in a ratio of 8:3:1. The ratio of the longest side of the triangle to the next longest side is...
√6:2
the amplitude of the function f(x)=5k cos kx/4 is 4. K=
4/5
if a circle has a circumference of 16, the area of a sector with central angle of π radians is ************
48/π
if secø=7, then tan^2ø+1=
49
the sum of the factors of 3 sin^2 ø + 13 sin ø --10 is
4sinø--3
what is the smallest positive angle that will make 5-sin (x+π/6) a maximum?
4π/3
an angle of 30 radians is equal to how many degrees?
5400/π
give the triangles below, what is the value of sin (α+b)?
56/65
the period of the function y= -2 tan(x/5+π) is
5π
the period of the trigonometric function y=--2 tan (x/5+π) is
5π
if 1-cosø/sinø = √3/3, then ø=
60 degrees
The area of triangle ABC=24√3, a =6 and b=16. The size of angle C is...
60 degrees or 120 degrees
the solutions of sin 2x=√3 cos 2x in the interval 0<x<180 are
60,240
In triangle ABC, if a=8, b=5 and c=9, then cos A is
7/15
the area of a regular ten sided polygon inscribed in a circle of radius 4 is
80 sin 36
if tanx=3, the numerical value of sin^2x/cos^2x is
9
which of the following is not defined?
cos^-1 (-4/3)
cot (A+B)=
cotA cotB -1/cotA+cotB
which of the following is equivalent to cos ø when 0<ø<π
cotø/cscø
if cos ø = 3/5, tan 2ø=
plus or minus 24/7
The expression (tanø + secø)/(1 + sinø) is equivalent to
secø
Solve cos2x+cosx+1=0 when 0<x<2π
{π/2, 2π/3, 4π/3, 3π/2}
The value of cos^-1(1/2) + cos^-1(√3/2)
π/2
The primary period of the function y=2cos^23x is
π/3
sec 11π/6*tan 2π/3*sin7π/4=
√2
sin(135°+x) + sin(135°-x)
√2 cosx
if f (x,y)= tan x + tan y and g (x,y)=1-tanx*tany then f (1,2)/ g (1,2)
--.014
if f(x)= sin x and g(x)=e^x, then f (g(π))=
--0.91
((cosø--1)/(cosø))--1/ ((cosø+1/cosø)--1))=
--1
sin^2ø/cos^2ø -- 1/co^2ø=
--1
if f (r, ø)= r cos ø, then f (2,3)=
--1.98
if log (cosø)=p, then, log (sec ø) =
--p
if cscø=--5 and π<ø<3π/2, then cos (ø/2)=
--√((5+2√6)/10))
what is the range of f(x)=2 cos x
-2≤ f(x) ≤2
if sin A= -15/17 and lies in the 4th quadrant and tan B=-43 and lies in the second quadrant, then cos (A-B) is
-84/85
sin(270° + A) is equivalent to
-cosA
sin(270°+A) is equivalent to
-cosA
sin^-1 (sin7π/6) =
-π/6
if cosø=αsinø and tan ø=4, then α=
.25
If sin 37 = .6, then sin 74=
.96
cos 75 cos 15--sin 75 sin 15=
0
the graph of y=x+sinx intersects the x axis n times; n=
0
what is the smallest positive x intercept of the graph of y=3sin2(x+2π/3)
1.05
If sinx=3 cos x, 0<x<π, then x=
1.25
what is the y intercept of y=√5 cos (x+π/5)
1.81
for what value of K is K cot A identical to sinA/1-cosA -- sinA/1+cosA
1/2
solve for x: cos^-1 (2x^2-2x)=2π/3
1/2
the amplitude of the function f(x)=-sinxcosx is
1/2
Which of the following is a solution of cos3x=1/2?
1/3cos^-1(1/2)
If in triangle ABC, A=30° and B=120° BC:AC equals
1/√3
The lengths of the sides of a triangle are 7, 4 and 5. The largest angle in the triangle (to the nearest degree) is
102 degrees
the area of then minor segment of a circle of radius 4 and central angle of 30 degrees is
118
In triangle ABC angle A=30 degrees b=8 and a=4√2 Angle C could equal...
15 degrees
if the ratio of sin x to cos x is 1 to 2, then the ratio of tan x to cot x is
1:4
For how many values of x in the interval π<_ x<_ 2π does cos2x = -sinx
2
the value of k in which (cosA/1+sinA) + (1+sinA/cosA)= k sec A is an identity is
2
triangle ABC is right angled at B. If a=2m and c=3m, the value of cot C is
2/3
if (sin x+cosπ/3)/((cos 5π/6)-sin270) = 0 and 90<x<270, then x=
210
what is the area of the triangle below?
23.83
The expression 2cos2x is equivalent to
2cos^2x - 2sin^2x
Find the length of the longer diagonal of a parallelogram if the sides are 6 and 8 and the smaller angle is 60 degrees
2√37
for what value of P is the period of the function y=1/3 cosPx equal to 2π/3?
3
if csc t= -5/4 and π<t<3π/2 then cot t=
4/3
in right triangle ABC, AB=10, BC=8, AC=6. The sin A=
4/5
