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Trigonometric Identities

Trigonometric Identities. r. y. x. SOH. θ. CAH. TOA. Pythagoras Theorem:. SOH. Definitions:. CAH. Reciprocal. TOA. Trigonometric identities. (1) Reciprocals. (2) Shaded Triangles. (3) Clockwise direction. (4) Anti-clockwise direction.

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Trigonometric Identities

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  1. Trigonometric Identities

  2. r y x SOH θ CAH TOA Pythagoras Theorem:

  3. SOH Definitions: CAH Reciprocal TOA

  4. Trigonometric identities

  5. (1) Reciprocals (2) Shaded Triangles (3) Clockwise direction (4) Anti-clockwise direction

  6. Find the angles between 0 and 360 which satisfy: sec x = 2 sec x = 2  B.A = 60, 1st/4th Quad  x = 60 or 360 − 60 = 300

  7. Find the angles between 0 and 360 which satisfy: Factorise like quadratic (reject) B.A = 78.46, 1st/4th Quad  x = 78.5 or 281.5

  8. , find the exact value of Given that A is obtuse and 1. Change to basic trigo function 1 2. Draw ∆, use pythagoras 3 S A 3. Find basic trigo function T C

  9. Given that and that and have opposite signs, find the value of 1 2 S A T C

  10. Solve the following equations for 1. Change to basic trigo function 2. Find the new range 3. Find B.A 4. Find the quadrants using ASTC 5. Solve unknown in ( ) 6. Solve x

  11. Solve the following equations for 1. Change to basic trigo function 2. Find B.A 3. Find the quadrants using ASTC S A T C

  12. Solve the following equations for

  13. and , show that Given that For “showing” questions, always start from one side and end with the other

  14. S A 2nd/4th Quad T C

  15. S A 2nd/4th 1st /3rd T C

  16. 3rd /4th S A T C

  17. All 1st /4th

  18. 1st /4th

  19. 2nd /3rd

  20. 2nd / 4th 1st /3rd

  21. If is obtuse and without using a calculator. , find the value of 3 2

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