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6.3_bzat4e - than 1 x Half-Angle Formulas Example 1 Find...

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Section 6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
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Double-Angle Formulas
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Example 3 If sin = and lies in Quadrant II, find the exact 5 value of each of the following. a. sin 2 b. cos 2 c. tan 2 θ θ θ θ θ
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Example 3 3 Verify the identity: sin 4x = 4 sin x cos 4 sin cos x x x -
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Example 3 Verify the identity: cos 3x = 4 cos 3 cos x x -
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Example Verify the identity: cot x - 2 cot 2x =tan x
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Example 3 Verify the identity: cos 3x = 4 cos 3 cos x Use 3x=2x+x. x -
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Example 2 2tan 8 Find the exact value of 1 tan 8 π π -
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Example 0 2 0 2 tan 22.5 Find the exact value of 1 tan 22.5 -
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Power-Reducing Formulas
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Example 4 Write an equivalent expression for sin that does not contain powers of trigonometric functions greater
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Unformatted text preview: than 1. x Half-Angle Formulas Example 1 Find sin 105 . Use 105 = 210 . 2 g Example 5 1 5 Find the cos . Use . 8 2 4 Example Find the sin 75 using the sin formula. 2 x Example Find the cos 105 using the cos formula. 2 x Example 5 1 5 Find the tan . Use . 8 2 4 Example Find the tan 105 using the tan formula. 2 x (a) (b) (c) (d) If tan =-1 and lies in quadrant II, find cos 2 . 1 1 undefined-(a) (b) (c) (d) 7 If the tan = ,find the tan . 24 2 7 48 7 12 3 4 1 7...
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