Trigonometry
Introduction
Introduction
This chapter on trigonometry builds on the foundations that have been covered in Sec 2 Trigonometry and the Sec 3 Trigonometry covered in Elementary Mathematics.
This chapter on trigonometry builds on the foundations that have been covered in Sec 2 Trigonometry and the Sec 3 Trigonometry covered in Elementary Mathematics.
Success Criteria
Success Criteria
At the end of this chapter, students are able to:
At the end of this chapter, students are able to:
- State the value of trigonometric ratios for Special Angles.
- Apply the complementary angle relationship.
- Use the Unit Circle to extend trigonometric functions to angles beyond 90°.
- State the definition of the secant, cosecant and cotangent function.
- State the domain of principal values and range of values of P for which the inverse trigonometric ratio of P is defined.
- State the amplitude, period, axis-of-curve, maximum & minimum value for trigonometric equations of the forms: (i) AsinBx + C; (ii) AcosBx + C; and (iii) AtanBx + C.
- Express tangent and cotangent as a fraction of sine and cosine.
- Apply the Pythagorean Identities.
- Prove trigonometric identities.
- Solve trigonometric equations.
- Apply the Double-Angle Formulas.
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