Question

1. Use the given conditions to find the exact value of the expression.

sin(α) = -5/3, tan(α) > 0, sin(α - 5π/3)

2. Use the given conditions to find the exact value of the expression.

cos α = 24/25, sin α < 0, cos(α + π/6)

3. Use the given conditions to find the exact value of the expression.

cot x = **√3,** cos x < 0, tan(x + π/6)

4. If α and β are acute angles such that cos α = 3/5 and tan β = 15/8, find the following.

(a) sin(α + β)

_________

(b) cos(α + β)

_________

Answer #1

Find the exact values of the remaining trigonometric functions
of θ satisfying the given conditions. (If an answer is undefined,
enter UNDEFINED.)
cos θ = 4/5, tan θ < 0
sin θ
=
tan θ
=
csc θ
=
sec θ
=
cot θ
=

Given cos(2α)=49/81 and
0<2α<π/2
, find exact values of
the six trigonometric functions.
Note: You are not allowed to use decimals in your answer.
sin(α)
= .
cos(α)
= .
tan(α)
= .
csc(α)
= .
sec(α)
= .
cot(α)
= .

Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the
given value of θ.
cot θ =
4
3
; 180° < θ < 270°

1.Suppose a = 10 and b = 9.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
sec(A) =
csc(A) =
cot(A) =
2. Suppose a = 8 and b = 3.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
sec(A) =
csc(A) =
cot(A) =

Find the exact value of the trigonometric function given
that
sin u = −
5
13
and
cos v = −
20
29
.
(Both u and v are in Quadrant III.)
cot(v − u)

Find the values of sin x, tan x, cot x, sec x, and csc x and cos
x given that cos(2x)=(3/5) and 3 π /2 < 2x <2 π

(a) Rewrite the expression as an algebraic expression in x
tan(sin-1(x))
(b) Find sin(2x), cos(2x) and tan (2x) from the given
information
csc(x)=4, tan(x)<0

Find the exact value of the expressions cos(a+b), sin(a+b) and
tan(a+b) under the following conditions:
cos(x)=12/13,x lies in quadrant 4, and sin(y)=-4/11, y lies in
quadrant 3
a. cos (a+b) b.sin(a+b) c.tan(a+b)

(1 point) Given tan(α)=−3/√7 and α is in quadrant IV, find the
exact value of tan(α/2).
Note: You are not allowed to use decimals in your answer.
tan(α/2)=

Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for
the given conditions.
sec θ = −
3
2
; 180° < θ < 270°

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 22 minutes ago

asked 27 minutes ago

asked 29 minutes ago

asked 32 minutes ago

asked 40 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago