Presentation is loading. Please wait.

Presentation is loading. Please wait.

C2 Trigonometric Identities cos²ø + sin²ø = 1 So cos²ø = 1 - sin²ø And sin²ø = 1 - cos²ø sin ø = tan ø cos ø 1. Use this information to solve 2 cos²ø –

Similar presentations


Presentation on theme: "C2 Trigonometric Identities cos²ø + sin²ø = 1 So cos²ø = 1 - sin²ø And sin²ø = 1 - cos²ø sin ø = tan ø cos ø 1. Use this information to solve 2 cos²ø –"— Presentation transcript:

1 C2 Trigonometric Identities cos²ø + sin²ø = 1 So cos²ø = 1 - sin²ø And sin²ø = 1 - cos²ø sin ø = tan ø cos ø 1. Use this information to solve 2 cos²ø – sinø – 1 = 0 for 0 ø Solve tanø =4cosø for -180 ø 180

2 2 cos²ø – sinø – 1 = 0 for 0 ø 360 Cos²ø = 1 - sin²ø 2(1 - sin²ø) – sinø – 1= sin²ø – sinø – 1=0 2sin²ø + sinø – 1=0 Factorise (2sinø - 1)(sinø + 1)=0 sinø = ½ or sinø = -1 ø = 30º, 150º or 270º

3 Solve tanø =4cosø for -180 ø 180 sin ø = 4cosø cos ø sinø = 4cos²ø sinø = 4(1-sin²ø) sinø = 4 - 4sin²ø 4sin²ø – sinø – 4 = 0 (use formula to solve) sinø = or sinø = (no solutions) ø = 62.0º, 118º


Download ppt "C2 Trigonometric Identities cos²ø + sin²ø = 1 So cos²ø = 1 - sin²ø And sin²ø = 1 - cos²ø sin ø = tan ø cos ø 1. Use this information to solve 2 cos²ø –"

Similar presentations


Ads by Google