Question

Find the exact value of csc (1020 °).

Answer #1

Remove full rotations of 360 degree until the angle is between 0 and 360 degrees.

csc(300)

By applying simple reference angle, we can calculate the value for the csc(300) as csc(360 - 60), which lies in the fourth quadrant.

Therefore, it will become -csc(60)

The exact value of csc(60) is 2 / sqrt(3), and for -csc(60) it will become - 2 / sqrt(3).

In order to find the more precise answer we can rationalise the value by multiplying both numerator and denominator by sqrt(3).

Finally, the value will become -2(sqrt(3)) / 3.

The decimal value is: -1.154

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 sin x/2, cos x/2 in exact values with the given
information: csc ? = −√26, 180° < ? < 270°.

Trig: Show Work
Find the exact function value if it exists (No calculator)
tan 30 °
sec 60 °
cos 15 °
cot 495 °
csc ( 10Pi / 6 )

Find csc θ if tan θ = 5/ 12 and sin θ > 0 .
csc θ =

Find the exact values of the six trigonometric ratios of the
angle θ in the triangle.
sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
cot(θ) =

Find the exact values of the six trigonometric functions of the
angle θ shown in the figure.
sin(θ)
=
cos(θ)
=
tan(θ)
=
csc(θ)
=
sec(θ)
=
cot(θ)
=

3.5.2a. If csc(θ)=3 and (π/2) <?θ< ?π ( signs are less
than and equal to) find the
following and give exact answers:
(a.) sin(θ)
(b.) cos(θ)
(c.) tan(θ)
(d.) sec(θ)
(e.) cot(θ)

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
=

If y = -3 csc (3-7x^2), find dy/dx.

find the exact value of tan (-15) using the sum/difference
identities

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