Solving Trig Equations and Identities

Organize this equation so it can be factored:

1−sin²x + sinx = 1

• move all to the right: 0 = sin²x − sinx

• cancel the ones and cancel a sinx

• replace sin²x with 1 − cos²x

• use this: 0 = sin²x − sinx + 2

Tags

CCSS.HSF.TF.B.7

• I and II

• II and III

• III and IV

• IV and I

Tags

CCSS.HSF.TF.A.2

Choose a good way to start solving this equation

tanx sin²x = 2 tanx

• divide tanx from both sides

• factor out tanx

• subtract 2 tanx from the left and then factor tanx out

• cancel sin²x out

Tags

CCSS.HSF.TF.B.7

What is the Day 10 video about under Chapter 5(Half and Double angles)

• Solving Trig Equations

• Double Angles

• There is not a Day 10 video

• Graphing Arc Functions

Tags

CCSS.HSF.TF.A.4

• the left side because it is more complicated.

• the right side because it is simpler.

• either side because it doesn't matter.

• neither side - stop this madness!

• change each trig function to its reciprocal.

• change everything to sine and cosine.

• factor the squared term.

• give up now.

• csc²θ

• sec²θ

• cscθ

• 1

• 2secθ

• cot²θ

• tan²θ

• sec²θ + 1

• csc x

• tan x + 1

• cot x

• cot x + 1