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Trigonometry Practice Problems: Trig Ratios and Solving for x

This resource provides practice problems focused on trigonometric functions and right triangles. It includes tasks for calculating sine, cosine, and tangent values to four decimal places, alongside equations to solve for 'x' with answers rounded to two decimal places. Detailed sections are provided for understanding triangle labeling (hypotenuse, opposite, adjacent) and the use of SOHCAHTOA for finding trigonometric ratios in various triangles. Ideal for students looking to strengthen their skills in trigonometry.

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Trigonometry Practice Problems: Trig Ratios and Solving for x

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  1. Practice Problems 1. Write the following to 4 decimal places A) sin 34o = _____ B) cos 34o= _____ C) tan 4o = _____ D) cos 84o= _____ E) tan 30o = _____ F) cos 18o= _____

  2. Practice Problems 2. Solve for x. Write the answer to 2 decimal places. A) B)

  3. .C) D) E) F)

  4. A B C Chapter 5 Trigonometry • Consider DABC • Label the sides as hypotenuse (hyp), opposite (opp), and adjacent (adj) for angle A

  5. Label the sides as hypotenuse (hyp), opposite (opp), and adjacent (adj) for angle B • Note: The opposite and adjacent switches places when switching angles. • The hypotenuse does not switch. It is always across from the right angle. A C B

  6. Trig Functions • sin = • cos = • tan = SOHCAHTOA Some Old Hippie Caught Another Hippie Trippin’ On Acid

  7. A B C • Write the trig ratios for angle A sin A= cos A = tan A = 5 3 4

  8. Practice: For each of the following triangles find A) the missing side (to one decimal place) B) the trig ratios for angles A and B 1. A 13 B 12 C

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