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O TRIGONOMETRIC IDENTITIES AND EQUATIONSMaxVerifying a trigonometric identityEspañolComplete the proof of the identity by choosing the Rule that justifies each stepcos2x-sin2x 2cos2x-1XTo see a detailed description of a Rule, select the More Information Button to the right of the Rule.RuleStatementsin xcOS xcos'x - ( - cosxАaRule?coS xCOS x21 + cos xRule?ECOS x- 2 cos.1Rule?X?1II TRIGONOMETRIC IDENTITIES AND EQUATIONSMaxVerifying a trigonometric identityEspañolComplete the proof of the identity by choosing the Rule that justifies each step.sin2x 2cos2x-12To see a detailed description of a Rule, select the More Information Button to the right of the RuleStatementRule22sin xCOS x(12AaRule ?ECOS XCOS x1cos xRule ?= COS x-RuleAlgebraReciprocalQuotientPythagorean?Odd/Even|4X

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O TRIGONOMETRIC IDENTITIES AND EQUATIONS
Max
Verifying a trigonometric identity
Español
Complete the proof of the identity by choosing the Rule that justifies each step
cos2x-sin2x 2cos2x-1
X
To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
Rule
Statement
sin x
cOS x
cos'x - ( - cosx
Аa
Rule?
coS x
COS x
2
1 + cos x
Rule?
ECOS x
- 2 cos.
1
Rule?
X
?
1II
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O TRIGONOMETRIC IDENTITIES AND EQUATIONS Max Verifying a trigonometric identity Español Complete the proof of the identity by choosing the Rule that justifies each step cos2x-sin2x 2cos2x-1 X To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Rule Statement sin x cOS x cos'x - ( - cosx Аa Rule? coS x COS x 2 1 + cos x Rule? ECOS x - 2 cos. 1 Rule? X ? 1II

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TRIGONOMETRIC IDENTITIES AND EQUATIONS
Max
Verifying a trigonometric identity
Español
Complete the proof of the identity by choosing the Rule that justifies each step.
sin2x 2cos2x-1
2
To see a detailed description of a Rule, select the More Information Button to the right of the Rule
Statement
Rule
2
2
sin x
COS x
(1
2
Aa
Rule ?
ECOS X
COS x
1cos x
Rule ?
= COS x-
Rule
Algebra
Reciprocal
Quotient
Pythagorean
?
Odd/Even
|4
X
help_outline

Image Transcriptionclose

TRIGONOMETRIC IDENTITIES AND EQUATIONS Max Verifying a trigonometric identity Español Complete the proof of the identity by choosing the Rule that justifies each step. sin2x 2cos2x-1 2 To see a detailed description of a Rule, select the More Information Button to the right of the Rule Statement Rule 2 2 sin x COS x (1 2 Aa Rule ? ECOS X COS x 1cos x Rule ? = COS x- Rule Algebra Reciprocal Quotient Pythagorean ? Odd/Even |4 X

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check_circleAnswer
Step 1

Given,

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Step 2

Now,

...
L.H.S cos2x - sin2x
cos2x (1 -cos2x)
(sin20 =1 - cos20)
= cos2x - 1 cos2x
= 2cos2x - 1
= R.H.S
Hence, proved by Pythagorean Rule
help_outline

Image Transcriptionclose

L.H.S cos2x - sin2x cos2x (1 -cos2x) (sin20 =1 - cos20) = cos2x - 1 cos2x = 2cos2x - 1 = R.H.S Hence, proved by Pythagorean Rule

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