Download presentation

Presentation is loading. Please wait.

Published byTiana Searing Modified over 3 years ago

1
M May Trigonometry Measures of triangle Remember Angles of triangle add to 180˚ hypotenuse opposite adjacent Right-angled triangle

2
M May x A B C a b c Toa hypotenuse adjacent opposite A C B 5 12 13 x tan x = 5 12 Toa x = tan -1 ( 5 / 12 ) x = 22.6

3
M May tan 45˚ = tan 30˚ = tan 60˚ = tan 15˚ = tan 0˚ = tan 80˚ = 1 0.577 1.732 0.278 0 5.67 tan 85˚ = tan 88˚ = tan 35˚ = tan 87˚ = tan 22˚ = 11.43 28.64 0.700 19.08 0.404 tan x ˚ = 1 x ˚ = tan -1 (1) x ˚ = 45˚ tan x ˚ = 0.8 x ˚ = tan -1 (0.8) x ˚ = 38.7˚ tan x ˚ = 0.5 tan x ˚ = 0. 12 tan x ˚ = 0.83 tan x ˚ = 0.21 tan x ˚ = 0.33 tan x ˚ = 0.47 tan x ˚ = 0.05 tan x ˚ = 0.72 x ˚ = tan -1 (0.5) x ˚ = tan -1 (0.12) x ˚ = tan -1 (0.83) x ˚ = tan -1 (0.21) x ˚ = tan -1 (0.33) x ˚ = tan -1 (0.47) x ˚ = tan -1 (0.05) x ˚ = tan -1 (0.72) x ˚ = 26.6˚ x ˚ = 6.8˚ x ˚ = 39.7˚ x ˚ = 11.9˚ x ˚ = 18.3˚ x ˚ = 25.2˚ x ˚ = 2.9˚ x ˚ = 35.8˚

4
M May The angle a ramp makes with the horizontal must be 23 ± 3 degrees to be approved by the Council. If this ramp lifts to top of the step 1.3 m high and is placed 2.9 metres from the step, will it be approved? 2.9 m 1.3 m x S o h C a h T o a √√ tan x = 1.3 2.9 x = tan -1 () 1.3 2.9 x = 24.14554196 x = 24.1˚ So since the angle lies between 20˚ and 26˚ the Council would approve the ramp.20˚ < 24.1˚ < 26˚ √√

5
M May tan 30˚ = Use your calculator : tan 69˚ = tan 47˚ = tan 23˚ = tan 54˚ = tan 62˚ = tan 73˚ = tan 78˚ = tan 89˚ = tan 4˚ = tan x ˚ = 0.493 x ˚ = tan -1 (0. 493) x ˚ = tan x ˚ = 0.639 x ˚ = tan -1 ( ) x ˚ = tan x ˚ = 0.248 x ˚ = tan -1 ( x ˚ = tan x ˚ = 0.478 x ˚ = tan x ˚ = 0.866 x ˚ = tan x ˚ = 0.234 x ˚ = tan x ˚ = 0.618 x ˚ = tan x ˚ = 0.476 x ˚ =

6
M May tan 30˚ = Use your calculator : tan 69˚ = tan 47˚ = tan 23˚ = tan 54˚ = tan 62˚ = tan 73˚ = tan 78˚ = tan 89˚ = tan 4˚ = tan x ˚ = 0.493 x ˚ = tan -1 (0. 493) x ˚ = tan x ˚ = 0.639 x ˚ = tan -1 ( ) x ˚ = tan x ˚ = 0.248 x ˚ = tan -1 ( x ˚ = tan x ˚ = 0.478 x ˚ = tan x ˚ = 0.866 x ˚ = tan x ˚ = 0.234 x ˚ = tan x ˚ = 0.618 x ˚ = tan x ˚ = 0.476 x ˚ = 0.577 2.605 1.072 0.424 1.38 1.88 3.27 4.705 57.29 0.070 26.2˚ 0.639 32.6˚ 0.248) 13.9˚ tan -1 (0.478) 25.5˚ tan -1 (0.866) 40.89˚ tan -1 (0.234) 13.2˚ tan -1 (0.618) 31.7˚ tan -1 (0.476) 25.5˚

7
M May Remember The tangent of an angle is found using T o a tan x = x A djacent o pposite x 9 15 12 tan x = 9 12 x = tan -1 (9/12) x = 36.9˚

8
M May S o h C a h T o a Hypotenuse x Adjacent Opposite sin x =cos x =tan x = Opposite HypotenuseAdjacenthypotenuse OppositeAdjacent S o h C a ha h T o a

Similar presentations

OK

EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.

EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on e movie ticket booking system Ppt on algebraic expressions and identities for class 8 Ppt on standardization and grading Ppt on non agricultural activities and pollution Ppt on f5 load balancer Ppt on elements and principles of art design Ppt on power factor meter Ppt on 60 years of indian parliament debate Ppt on any one mathematician lovelace Ppt on share market in india