Warm Up Use the following triangles: Find a if b = 10√2 Find b if a = 19 Find d and e if c = 4 Find c and d if e = 50√3 b d e a 60° a c

Geometry Sections 7.5 and 7.6 – SOHCAHTOA Objective: SWBAT to apply Trigonometry ratios to find indirect measures.

Trigonometry Sine, Cosine, and Tangent are trigonometry functions used to solve for sides and angles of a right triangle. You can only take the sine, cosine, and tangent of an acute angle, NOT A RIGHT ANGLE!!

Sine (abbreviation: sin) X Z Y

Cosine (abbreviation: cos) X Z Y

Tangent (abbreviation: tan) X Z Y

SOHCAHTOA A 1.) 2.) 3.) 4.) 5.) 6.) 5 3 C B 4

Use your calculator and round to the nearest hundredth. 1.) sin 42o = 2.) cos 58o = 3.) tan 18o = .6691306064 = .67 .5299192642 = .53 .3249196962 = .32

Solve for the variable. Given opposite, find adjacent Given hypotenuse, find adjacent Given hypotenuse, find opposite tan 20 = cos 50 = sin 42 = .3640 = .6428 = .6691 = .364x = 8 c = 4.7 a = 6.4 x = 22.0

Solve for the variable. tan 40 = sin 48 = tan 55 = .8391 = .7431 = 1.4281 = x = 16.8 k = 15.6 x = 42.8

Solve for the variable cos 35 = tan 45 = tan 60 = .8192 = 1.0 = 1.7321 = f = 9.82=9.8 x = 25.0 x = 8.66=8.7