Trigonometry Objective To use trigonometric ratios to find

Trigonometry Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. e us en t po hy opposite The Trigonometric ratios: adjacent @lhmaths: Lesley Hall …there are three trig ratios opposite Sine ratio = hypotenuse adjacent Cosine ratio = hypotenuse Tangent ratio = opposite adjacent

Trigonometry Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. Find angle ABC. A opp 8 cm x 0 sin Label the sides. hyp sin 12 cm x 0 opposite = hypotenuse = 8 12 -1 sin x 0 = sin 0. 6666 C x B x = 420 Choose a ratio. @lhmaths: Lesley Hall opp Sin = hyp adj Cos = hyp opp Tan = adj

Trigonometry Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. Find angle ABC. Label the sides. adjacent 0 cos x = hypotenuse B adj A 10 cm x cos 18 cm 10 18 -1 cos x 0 = cos 0. 5555 hyp x = 560 Choose a ratio. C @lhmaths: Lesley Hall x 0 = opp Sin = hyp adj Cos = hyp opp Tan = adj

Trigonometry Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. Find the length of side BC. Label the sides. B hyp 15 cm A 0 64 x adj C cos 640 adjacent = hypotenuse cos 640 x = 15 x cos 640 x x = 15 6. 6 cm = x Choose a ratio. @lhmaths: Lesley Hall opp Sin = hyp adj Cos = hyp opp Tan = adj

Trigonometry Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. Find the length of side AB. Label the sides. A opp x B adj 11 cm 580 C @lhmaths: Lesley Hall opp Sin = hyp tan 580 opposite = adjacent tan 580 x = 11 x tan 580 x x = 11 17. 6 cm = x Choose a ratio. adj Cos = hyp opp Tan = adj

Trigonometry Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. Find the length of side AB. A opp 7 cm C Label the sides. x hyp sin 270 opposite = hypotenuse 7 sin 270 = x 270 B sin 270= 7 = x x = 15. 4 cm Choose a ratio. @lhmaths: Lesley Hall opp Sin = hyp adj Cos = hyp opp Tan = adj

Trigonometry Objective: To use trigonometric ratios to find sides and angles in right-angled triangles. Find the length of side BC. B Label the sides. 39 0 tan x tan 5. 8 cm opp @lhmaths: Lesley Hall opposite = adjacent 5. 8 tan 390 = x adj A 390= 5. 8 = x x = 7. 2 cm Choose a ratio. C opp Sin = hyp adj Cos = hyp opp Tan = adj