BELL-WORK TCAP Bell-Work # 27,28 TB pg 604 #25-33.

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Right Triangle Trigonometry

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Presentation transcript:

BELL-WORK TCAP Bell-Work # 27,28 TB pg 604 #25-33

HW 3.3(c) Due tomorrow: Handout

HW 3.3(b) Solutions Due tomorrow: PW 8-4 (even)

Check Point Reminders: Check off your project on the rubric Make sure it is neat and creatively put together Make sure every section has its own title Make sure you talk ONLY about why the person is a minority in the first section Make sure you give proper citations Make sure you give enough information Project is due on Monday

CW 3.3 Review TB pg 573 # Tb pg 568 # 34,35 TB pg 570 # 57

CW 3.4 Review Value (Simplest radical form) sin 30 cos 30 tan 30 sin 45 cos 45 tan 45 sin 60 cos 60 sin 60

Guiding question: What are six trigonometric ratios?

Right Triangle Trigonometry So far, we have *found the third length of a right triangle, using the Pythagorean Theorem, *found missing lengths of right triangles, when we know 2 sides and an angle, using trigonometric ratios, and *found the measure of angles of a right triangle if we know the side lengths, using the inverse of the ratios.

Right Triangle Trigonometry Today we will learn 3 additional trigonometric ratios. The three we learn today are the reciprocals of the three we already know. Secant Cosecant Cotangent

Inverse Trigonometric Ratios Cosecant = hypotenuse opposite = 1. sin Secant = hypotenuse adjacent = 1. cos Cotangent = adjacent opposite = 1. tan

Inverse Trigonometric Ratios Given the right triangle below, find sin A, cos A, tan A, sec A, csc A and cot A.

Inverse Trigonometric Ratios Find c.

Inverse Trigonometric Ratios Find x and y.

Inverse Trigonometric Ratios If x is an acute angle of a right triangle and sin x = 3 / 7, find the exact value of the trigonometric functions cos x and cot x. If x is an acute angle and tan x = 5, find the exact value of the other 5 trigonometric functions.

Inverse Trigonometric Ratios Represent each of the following in terms of sin(x) and cos(x). You may assume that each angle x is measured in degrees. sin(x)∙cot(x) sin 2 (x)∙cot(x) If csc(x) is ¾, then what is cos(x)?

Who wants to answer the Guiding question? What are six trigonometric ratios?