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A = Cos o x H

Cosine Rule. A = Cos o x H. To find an adjacent side we need 1 side (hypotenuse) and the included angle. 9 cm. 12 cm. 60 °. 75 °. a. a. A = Cos ° x H A = Cos 75° x 12 A = 0.258819045 x 12 A = 3.1 cm. A = Cos ° x H A = Cos 60° x 9 A = 0.5 x 9 A = 4.5 cm. Cosine Rule.

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A = Cos o x H

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  1. Cosine Rule A = Cos o x H To find an adjacent side we need 1 side (hypotenuse) and the includedangle. 9 cm 12 cm 60° 75° a a A = Cos ° x H A = Cos 75° x 12 A = 0.258819045 x 12 A = 3.1 cm A = Cos ° x H A = Cos 60° x 9 A = 0.5 x 9 A = 4.5 cm

  2. Cosine Rule Cos o = A ÷ H To find an unknown angle we need 2 sides the adjacent and the hypotenuse 5 cm 15 cm x° y° 2.5 cm 12cm Cos ° = A÷ H Cos ° = 12 ÷ 15 Cos ° = 0.8 Shift (Inv) (2ndF) Cos-1 0.8 = 36.9° Cos ° = O ÷ H Cos° = 2.5 ÷ 5 Cos° = 0.5 Shift (Inv) (2ndF) Cos-1 0.5 = 60°

  3. Sine Rule O = Sin o x H To find an opposite side we need 1 side (hypotenuse) and the includedangle. 5 cm 10 cm o o 30° 75° O = Sin ° x H O = Sin 30° x 5 O = 0.5 x 5 O = 2.5 cm O = Sin ° x H O = Sin 75° x 10 O = 0.965925826 x 10 O = 9.7cm

  4. Sine Rule Sin o = O ÷ H To find an unknown angle we need 2 sides the opposite and the hypotenuse 5 cm 15 cm 2.5 cm 12cm x° y° Sin ° = A÷ H Sin ° = 12 ÷ 15 Sin ° = 0.8 Shift (Inv) (2ndF) Sin-1 0.8 = 53.1° Sin ° = O ÷ H Sin ° = 2.5 ÷ 5 Sin ° = 0.5 Shift (Inv) (2ndF) Sin-1 0.5 = 30°

  5. Tangent Rule Tan o = O ÷ A To find an unknown angle we need 2 sides the opposite and the adjacent 2.5 cm 12cm x° y° 5 cm 15 cm Tan ° = A÷ H Tan ° = 12 ÷ 15 Tan ° = 0.8 Shift (Inv) (2ndF) Tan-1 0.8 = 38.6° Tan ° = O ÷ H Sin ° = 2.5 ÷ 5 Sin ° = 0.5 Shift (Inv) (2ndF) Tan-1 0.5 = 26.6°

  6. Tangent Rule O = Tan o x A To find an opposite side we need 1 side (adjacent) and the includedangle. a a 45° 75° 9 cm 6 cm O = Tan ° x A O = Tan 45° x 9 O = 1 x 9 O = 9 cm A = Tan ° x H A = Tan 75° x 6 A = 3.732050808 x 6 A = 22.4 cm

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