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Sum and Difference Identities

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Wize High School Grade 12 Pre-Calculus Textbook > Trigonometric Identities & Proofs

Sum & Difference Identities

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Wize High School Algebra II Textbook (Common Core) > Trigonometric Identities & Proofs

Sum & Difference Identities

7 Activities

Practice: Sum & Difference Identities


Find two special angles whose difference is π12\frac{\pi}{12}.
More Sum & Difference Identities Questions:
Sum and Difference Identities
Determine the exact value of tan⁡13π12\tan\dfrac{13\pi}{12}.
Sum and Difference Identities
Practice: Sum & Difference Identities
Determine the exact value for sin⁡(A−B)\sin(\text{A}-\text{B}) if cos⁡A=−19\cos{\text{A}}=-\dfrac{1}{9} and sin⁡B=411\sin{\text{B}}=\dfrac{4}{11}.
Sum and Difference Identities
Practice: Sum & Difference Identities
Determine the exact value for cos⁡(A+B)\cos(\text{A}+\text{B}) if cos⁡A=25\cos{\text{A}}=\dfrac{2}{5} and sin⁡B=37\sin{\text{B}}=\dfrac{3}{7}. Assume ∠A & ∠B\angle{\text{A}}~\&~\angle{\text{B}} are both in quadrant I.
Sum and Difference Identities
Practice: Sum & Difference Identities
Using sum and difference identities, give the exact solution to tan⁡(5π12)\tan\Bigg(\dfrac{5\pi}{12}\Bigg).
Sum and Difference Identities
Practice: Sum & Difference Identities
If cos⁡(α−β)=cos⁡(17π12)\cos(\alpha-\beta)=\cos\Bigg(\dfrac{17\pi}{12}\Bigg), then what is cos⁡(α+β)?\cos(\alpha+\beta)?
Sum and Difference Identities
Practice: Sum & Difference Identities
Evaluate sin⁡(11π12)\sin\Bigg(\dfrac{11\pi}{12}\Bigg). Leave answer in exact form.
More Sum & Difference Identities Questions:
Sum and Difference Identities
Determine the exact value of tan⁡13π12\tan\dfrac{13\pi}{12}.
Sum and Difference Identities
Practice: Sum & Difference Identities
Determine the exact value for sin⁡(A−B)\sin(\text{A}-\text{B}) if cos⁡A=−19\cos{\text{A}}=-\dfrac{1}{9} and sin⁡B=411\sin{\text{B}}=\dfrac{4}{11}.
Sum and Difference Identities
Practice: Sum & Difference Identities
Determine the exact value for cos⁡(A+B)\cos(\text{A}+\text{B}) if cos⁡A=25\cos{\text{A}}=\dfrac{2}{5} and sin⁡B=37\sin{\text{B}}=\dfrac{3}{7}. Assume ∠A & ∠B\angle{\text{A}}~\&~\angle{\text{B}} are both in quadrant I.
Sum and Difference Identities
Practice: Sum & Difference Identities
Using sum and difference identities, give the exact solution to tan⁡(5π12)\tan\Bigg(\dfrac{5\pi}{12}\Bigg).
Sum and Difference Identities
Practice: Sum & Difference Identities
If cos⁡(α−β)=cos⁡(17π12)\cos(\alpha-\beta)=\cos\Bigg(\dfrac{17\pi}{12}\Bigg), then what is cos⁡(α+β)?\cos(\alpha+\beta)?
Sum and Difference Identities
Practice: Sum & Difference Identities
Evaluate sin⁡(11π12)\sin\Bigg(\dfrac{11\pi}{12}\Bigg). Leave answer in exact form.