Everything Maths Grade 10

b) Ry 9 30 ◦ For more exercises, visit http://www.everythingmaths.co.za and click on ’Practise Maths’. 1.2FN9 2a.2FNB 2b.2FNC 2c ...

5.5 Calculator skills EMA3R In this section we will look at using a calculator to determine the values of the trigonometric rati ...

5.Press ( 1 ÷ 4 ) cos 27 ) = 0,22275...0,22 OR Press cos 27 ) = ANS ÷ 4 = 0,22275...0,22 6.Press ( 5 ÷ 6 ) tan 34 ) = 0,56209. ...

y) p 4 sec 99 ° z) √ cot 103 °+sin 1090 ° sec 10 °+ 5 2.Ifx= 39°andy= 21°, use a calculator to determine whether the following s ...

Exercise 5 – 3: 1.For each expression select the closest answer from the list provided: a)cos 45 ◦ 1 2 1 p 2 p^13 p^12 b)sin 45 ...

5.Evaluate the following without using a calculator. Select the closest answer from the list provided. a)tan 45 ◦sin 60 ◦ p^2 3 ...

Finding lengths EMA3V From the definitions of the trigonometric ratios and what we have learnt about determining the values of t ...

25 ◦ 7 x SOLUTION Step 1: Identify the opposite and adjacent sides and the hypotenuse with reference to the given angle Remember ...

25 ◦ 7 x y SOLUTION Step 1: Identify the opposite and adjacent sides and the hypotenuse with reference to the given angle tan= ...

Exercise 5 – 4: 1.In each triangle find the length of the side marked with a letter. Give your answers correct to 2 decimal plac ...

g) 23 ◦ g 32 h) 30 ◦ h 20 i) x 55 ◦ 9,R j) 4,23 65 ◦ x 2.Write down two ratios for each of the following in terms of the sides:A ...

4.Calculatexandyin the following diagram. y kj-j x 9d◦ j3◦ A B C D For more exercises, visit http://www.everythingmaths.co.za an ...

Step 2: Use your calculator to solve for To solve for, you will need to use the inverse tangent function on your calculator. T ...

5. 12 15 6. p 2 1 7. 7 j,8 For more exercises, visit http://www.everythingmaths.co.za and click on ’Practise Maths’. 1.2FRB 2.2F ...

Worked example 9: Solving trigonometric equations QUESTION Find the value ofif 3 sin=2,4. SOLUTION Step 1: Rearrange the equat ...

Step 3: Use your calculator to solve for To solve for , you will need to use the inverse cosine function on your calculator. Thi ...

5.8 Defining ratios in the Cartesian plane EMA3X We have defined the trigonometric ratios using right-angled triangles. We can e ...

Similarly, an alternative method is to calculate the hypotenuse using the theorem of Pythagoras and calculate using: sin = oppos ...

0 0 ◦ 360 ◦ 90 ◦ 180 ◦ 270 ◦ Quadrant II Quadrant I Quadrant III Quadrant IV A all ratios S sin T tan C cos This diagram is k ...

Therefore: sin 0 °= opposite hypotenuse = 0 hypotenuse = 0 cos 0 °= adjacent hypotenuse = hypotenuse hypotenuse = 1 tan 0 °= opp ...