Pythagorean identities part 1 Lesson Slides: 9 Slides

9 Slides • 6 Questions

1

Pythagorean identities part 1

I can simplify trig expressions.

2

Warm-up

3

4

5

Multiple Select

ex1) Which one of these is the simplified form of $\frac{\cos\left(-x\right)}{\sin\left(-x\right)}$

1

$\sin^{ }x$

2

$\cos^{ }x$

3

$\tan^{ }x$

4

$-\tan x$

5

$-\cot x$

6

Multiple Select

ex2) Which one of these is the simplified form of $\sin x\left(\sin^2x+\cos^2x\right)$

1

$\sin^{ }x$

2

$\cos^{ }x$

3

$\tan^{ }x$

4

$\sin2x$

5

$-\cos x$

7

Multiple Select

ex3) Which one of these is the simplified form of $\cot x\sin x$

1

$\sin^{ }x$

2

$\cos^{ }x$

3

$\tan^{ }x$

4

$\sin2x$

5

$-\cos x$

8

Multiple Select

ex4) Which one of these is the simplified form of $\frac{\tan^2x+1}{\sec^3x}$

1

$\sin^{ }x$

2

$\cos^{ }x$

3

$\tan^{ }x$

4

$\sec x$

5

$-\cos x$

9

Multiple Select

ex5) Which one of these is the simplified form of $\cos^2x\tan\left(-x\right)$

1

$-\cos x\sin x$

2

$\cot x\sin x$

3

$\tan^{ }x$

4

$\sin2x$

5

$\cos x\sin x$

10

Multiple Select

ex6) Which one of these is the simplified form of $\sin\theta-\tan\theta\cos\theta+\cos\left(\frac{\pi}{2}-\theta\right)$

1

$\sin\theta$

2

$\cos\theta$

3

$\tan\theta$

4

$-\sin\theta$

5

0

11

But that was a partial list...

12

This is the full list

13

Verify the identity

(sin 𝜃 − cos 𝜃)(sin 𝜃 + cos 𝜃) = 1 − 2cos²θ

14

Verify the identity

15

Homework

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Pythagorean identities part 1

I can simplify trig expressions.

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