MATH 259 East Los Angeles College Cosecant Function Pre Calculus Exam Questions must show work. follow each step.see questions that are attached. complete within in hour 12:47

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MATH 259 : Precalculus/Trig – Hito M. – SUMMER 2020 -…

pm. Make sure it goes through.

1) Find the exact value, no calculators:

a) cot-1(-1)

16

CSC T

15

range for the inverse cosecant function.

c) cos(sin-‘(-3)).

2) Solve each equation:

cos 50 =

a)

13. for all values for 0 in radians

b) cot(?) = -1, for 0 < a < 41
3) Verify the identity:
1-cos x
1+cos x
(csc x cot x)2
=
4) If sin a = u a in IIQ; sin ß = cos ß < 0,
find using the difference of angles identities:
3
a) sin(a B)
b) tan(a B)
c) the quadrant for (a B).
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MATH 259 : Precalculus/Trig - Hito M. - SUMMER 2020 -...
5) Find the exact values, no calculators:
a) tan(60°), use the double angle identity.
b) sin 67.5°, use the half angle identity.
6) Solve the equation:
csc? 0 2 cot 0 = 0, for 0 < 0 < 21
7) Draw the corresponding pictures and answer the
questions:
a) Find the exact bearing of the point
A (11, -11) from the origin of a rectangular coor
b) Find c for the following triangle:
C = 90°, A = 76°, b = 3, round your answer to
the nearest thousandth.
8) Solve the triangle(s) if any:
a = 22 ft, A = 55°, b = 25 ft.
9) Two ships leave a harbor together, traveling on
courses that have an angle of 135° 40' between
them. If each travels 402 miles, how far apart are
they?
10) a) Find the exact are of the triangle :
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MATH 259 : Precalculus/Trig - Hito M. - SUMMER 2020 -...
questions:
a) Find the exact bearing of the point
A (11, -11) from the origin of a rectangular coor
b) Find c for the following triangle:
C = 90°, A = 76°, b = 3, round your answer to
the nearest thousandth.
8) Solve the triangle(s) if any:
a = 22 ft, A = 55°, b = 25 ft.
9) Two ships leave a harbor together, traveling on
courses that have an angle of 135°40' between
them. If each travels 402 miles, how far apart are
they?
10) a) Find the exact are of the triangle :
a = 20, b = 45, C = 30.
b) Is this triangle acute, right or obtuse? (hint: the
greatest angle is opposite the longest side)
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