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What's on the worksheet
- Find the exact value of each sine.\sin 195^\circ\sin(-105^\circ)\sin\left(-\dfrac{13\pi}{12}\right)
- Write each expression as a single sine (or a multiple of one function), then give its exact value if it is a number.
- Use the tangent sum or difference formula.
- For each pair of lines, find the acute angle between them to two decimal places (use a calculator), or explain why they are perpendicular.2x - 5y = 10 and 3x + y = 34x + 3y = 12 and 5x - y = 16x - 4y = 1 and 2x + 3y = 9
- Angle a is in Quadrant III with a = 6572, and angle b is in Quadrant I with b = 3989.
- Show that (a + b) a b = a + b wherever a ≠ 0 and b ≠ 0.
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Sine and tangent of a sum or difference: the lesson ›More Chapter 6 worksheets: Sum, difference and double angle formulas
- 6.1Cosine of a sum or difference
- 6.2Sine and tangent of a sum or difference
- 6.3Double angle formulas
- 6.4Power reducing and half angle formulas
- 6.5Product to sum and sum to product formulas
- 6.6Combining a sine and a cosine into one wave
- 6.7Solving trig equations by factoring, quadratics and identities