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