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Unit Standard 5268G

Practice assessment covering reciprocal and inverse relationships, Pythagorean identities, compound angle formulae, and sum and product formulae. Evaluate expressions, find exact values, prove identities, and write expressions as sums or products.

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Unit Standard 5268G

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  1. Unit Standard 5268G Practice Assessment

  2. Element 1 • Reciprocal and Inverse relationships • Pythagorean identities • Compound Angle formulae • Sum and Product formulae

  3. Reciprocal and inverse relationships • Evaluate the following (give your answer to 3 significant figures).

  4. You can give the answer in exact form or to 3 significant figures).

  5. 1(b)

  6. 1(b)

  7. Question 2 • Find the exact value of each of the following:

  8. Question 2 • Find the exact value means you must use the standard triangles

  9. 2(b)

  10. 2(b)

  11. Question 3: Pythagorean identities • Prove:

  12. Prove:

  13. 3(b)

  14. 3(b)

  15. 3(c)

  16. 3(c)

  17. Question 4: Compound angles If and (A and B are both acute angles), evaluate .

  18. 17 8 13 12 A B 15 5

  19. Starting with the left hand side, prove

  20. Starting with the left hand side, prove

  21. Prove

  22. Question 5: Sums and Products • Write as a sum

  23. Question 5: Sums and Products

  24. Write as a product.

  25. Prove

  26. Give the general solution of

  27. Give the general solution of

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