Unit Standard 5268G Practice Assessment. Element 1 Reciprocal and Inverse relationships Pythagorean...

Unit Standard 5268G

Practice Assessment

Element 1

• Reciprocal and Inverse relationships• Pythagorean identities• Compound Angle formulae• Sum and Product formulae

Reciprocal and inverse relationships

• Evaluate the following (give your answer to 3 significant figures).

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

1(b)

1(b)

Question 2

• Find the exact value of each of the following:

Question 2

• Find the exact value means you must use the standard triangles

2(b)

2(b)

Question 3: Pythagorean identities

• Prove:

• Prove:

3(b)

3(b)

3(c)

3(c)

Question 4: Compound angles

If and

(A and B are both acute angles), evaluate .

A

817

15 B

1213

5

• Starting with the left hand side, prove

• Starting with the left hand side, prove

• Prove

Question 5: Sums and Products

• Write as a sum

Question 5: Sums and Products

• Write as a product.

• Prove

• Give the general solution of

• Give the general solution of