Trig Worksheet 1.5A: Finding Missing Parts & Calculating Ratios, Study notes of Trigonometry

This worksheet from chapter 1a of a trigonometry textbook includes exercises for finding missing sides of right triangles, rounding answers to three decimal places, and calculating the remaining five trigonometric ratios (sin, csc, cos, sec, tan, and cot) based on given ratios and quadrant information.

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2012/2013

Uploaded on 02/06/2013

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Trigonometry Chapter 1A Name___________________
Worksheet 1.5A Day 2
Find the missing parts of the right triangle. Round your answers to three decimal places. (C is
the right angle)
1. a = 1, b = 1 2. a = 1, c = 2
c
A
B
=
=
=
b
A
B
=
=
=
3. a = 4, b = 8 4. a = 9, c = 12
c
A
B
=
=
=
b
A
B
=
=
=
5.
a 5, b 6= =
6.
c 9, b 7= =
A
B
c
=
=
=
a
A
B
=
=
=
7.
o
B 12 , c 7= =
8.
o
A 65 , c 13= =
A
a
b
=
=
=
a
b
B
=
=
=
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Trigonometry Worksheet 1.5A Day 2 Chapter 1A Name___________________

Find the missing parts of the right triangle. Round your answers to three decimal places. (C isthe right angle)

  1. a = 1, b = 1 2. a = 1, c = 2 c A B

b A B

  1. a = 4, b = 8 4. a = 9, c = 12 c A B

b A B

  1. a = 5, b = 6 6. c = 9, b = 7 A B c

a A B

  1. B = 12 , co = 7 8. A = 65 , co = 13 A a b

a b B

  1. B = 24 , bo = 15 10. a = 4, b = 17 A a c

A

c B

  1. A = 11 , ao = 5 12. c = 14, a = 6 b c B

b B A

Simplify all roots and rationalize all answers.

remaining five trigonometric ratios.^ θ^ is the measure of an angle in standard position that lies in the given quadrant. Find the

13. sin θ = − 12 , Quadrant IV 14. tan θ = − 1 , Quadrant II

csc cos sec tan cot

sin csc cos sec cot