Use basic identities to simplify the expression. (put the steps in the correct order) 5. Simplify $$\frac{\cos\theta}{1-\sin^2\theta}$$

Pyth. Identity $$\frac{\cos\theta}{\cos^2\theta}$$

cancel factors $$\frac{1}{\cos\theta}$$

Reciprocal Identity $$\sec\theta$$

Use basic identities to simplify the expression. Reorder the steps to simplify the expression 9. Simplify $$\sin x\csc\left(-x\right)$$

odd identity $$\sin x\left(-\csc x\right)$$

reciprocal identity $$\sin x\left(-\frac{1}{\sin x}\right)$$

multiply $$-\left(\frac{\sin x}{\sin x}\right)$$

Factor the expression and use the fundamental identities to simplify: Reorder the steps to simplify the expression 12. $$\frac{2\cos^2\theta-2}{\cos^2\theta-2\cos\theta+1}$$

factor $$\frac{2\left(\cos^2\theta-1\right)}{\left(\cos\theta-1\right)\left(\cos\theta-1\right)}$$

factor $$\frac{2\left(\cos\theta-1\right)\left(\cos\theta+1\right)}{\left(\cos\theta-1\right)\left(\cos\theta-1\right)}$$

cancel factors $$\frac{2\left(\cos\theta+1\right)}{\left(\cos\theta-1\right)}$$

Factor the expression and use the fundamental identities to simplify: Reorder the steps to simplify the expression 14. $$\cot^2x-\cot^2x\cos^2x$$

Factor GCF $$\cot^2x\left(1-\cos^2x\right)$$

Pyth. Identity $$\cot^2x\left(\sin^2x\right)$$

Quotient Identity $$\left(\frac{\cos^2x}{\sin^2x}\right)\left(\frac{\sin^2x}{1}\right)$$

Factor the expression and use the fundamental identities to simplify: Reorder the steps to simplify the expression 16. $$\tan x\cot x-\cos^2x$$

Reciprocal Identity $$\frac{\tan x}{1}\cdot\frac{1}{\tan x}-\cos^2x$$

Write each expression in factored form as an algebraic expression: Reorder the steps to simplify the expression 24. $$\frac{\sin^2x}{1+\cos x}$$

Pyth. Identity $$\frac{1-\cos^2x}{1+\cos x}$$

Factor $$\frac{\left(1+\cos x\right)\left(1-\cos x\right)}{1+\cos x}$$

Cancel Common Factors $$1-\cos x$$

5.1 Homework (#5-10, 12-32 evens)

Authored by David Granda

Mathematics

11th Grade

Used 9+ times

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REORDER QUESTION

2 mins • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Use basic identities to simplify the expression.
7. Simplify cot(x)sin(x)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use basic identities to simplify the expression.
8. Simplify cos y sec y.

REORDER QUESTION

1 min • 1 pt

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use basic identities to simplify the expression.
10. Simplify tan x cos x.

REORDER QUESTION

2 mins • 1 pt

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5.1 Homework (#5-10, 12-32 evens)

Use basic identities to simplify the expression. 7. Simplify cot(x)sin(x)

Use basic identities to simplify the expression. 8. Simplify cos y sec y.

Use basic identities to simplify the expression. 10. Simplify tan x cos x.

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Use basic identities to simplify the expression.
7. Simplify cot(x)sin(x)

Use basic identities to simplify the expression.
8. Simplify cos y sec y.

Use basic identities to simplify the expression.
10. Simplify tan x cos x.