TODAY IN ALGEBRA 2.0…

Review: Solving for a given side

Learning Target: 13.1 Finding an angle using inverse Trigonometry

Independent Practice

19𝑥

WARM UP: Solve for the missing variable.

48 °

Use sine ratio

Substitute known values

Variable on bottom (divide)

Solve for x using a calculator

h𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑠𝑖𝑑𝑒

Find Trigonometric angles using inverse

𝜃𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒

𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡

h𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒

INVERSE TRIGONOMETRY:

θ=𝑡𝑎𝑛− 1( )

θ=𝑐𝑜𝑠− 1( )

θ=𝑠𝑖𝑛− 1( )𝑂𝐻

𝐴𝐻

𝑂𝐴

13

14

EXAMPLE: Find angle x using inverse trigonometric functions. Round your answer to the nearest tenth.

𝑥

Use tangent ratio

Use inverse tangent

Solve for x using calculator

𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑠𝑖𝑑𝑒

𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒

92

53

PRACTICE: Find angle x using inverse trigonometric functions. Round your answer to the nearest hundredth.

𝑥

Use sine ratio

Use inverse sine

Solve for x using calculator

h𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒

𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒

2436

PRACTICE: Find angle x using inverse trigonometric functions. Round your answer to the nearest hundredth.

𝑥

Use cosine ratio

Use inverse cosine

Solve for x using calculator

𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒h𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒

6

4

PRACTICE: Find angle x using inverse trigonometric functions. Round your answer to the nearest hundredth.

𝑥

Use tangent ratio

Use inverse tangent

Solve for x using calculator

𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒

𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡

43

92

PRACTICE: Find angle x using inverse trigonometric functions. Round your answer to the nearest hundredth.

𝑥

Use sine ratio

Use inverse sine

Solve for x using calculator

𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑠𝑖𝑑𝑒

h𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒

2824

PRACTICE: Find angle x using inverse trigonometric functions. Round your answer to the nearest hundredth.

𝑥

Use cosine ratio

Use inverse cosine

Solve for x using calculator

h𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡

HOMEWORK #4:

Solving for missing angles WS

If finished, work on other assignments:

HW #1: Intro to TRIG WSHW #2: Pg. 856: 3-7, 9-14HW #3: Solving for missing sides WS