Trigonometry To be able to find missing angles and sides in right angled triangles Starter - naming sides

Using a calculator (shift , 9 , 3 , = , AC) sin (30) = sin (0.5) = -1 cos 45 = tan (0.8) = -1 if sin(x) is 0.6 - what is x?

the Sine rule hyp opp x o Sin (x) = opposite hypotenuse

the cos rule hyp x o adj Cos (x) = adjacent hypotenuse

the tan rule opp x o adj tan (x) = opposite adjacent

S O H C A H T O A

The Steps..... Step 1 - Draw the triangle 12cm x 50o

The Steps..... Step 1 - Draw the triangle Step 2 - Label the sides (H,A,O) 12cm x 50o

The Steps..... Step 1 - Draw the triangle Step 2 - Label the sides (H,A,O) H O Step 3 - Cross out the one we don't need 12cm x 50o A

The Steps..... Step 1 - Draw the triangle Step 2 - Label the sides (H,A,O) H O Step 3 - Cross out the one we don't need 12cm x Step 4 - SOH CAH TOA 50o A

The Steps..... H O 12cm x 50o A Step 5 - Write Formula/ substitute numbers Sin(angle) = O H

The Steps..... H O 12cm x 50o A Step 5 - Write Formula/ substitute numbers Sin(angle) = O H Sin (50) = x 12

The Steps..... H O 12cm x 50o A Step 5 - Write Formula/ substitute numbers Step 6 - Rearrange Sin(angle) = O H Sin (50) = x 12

The Steps..... H O A 12cm x 50o Sin(angle) = O Step 5 - Write Formula/ substitute numbers Step 6 - Rearrange Step 7 - Solve Sin (50) = x 12 12 x Sin(50) = x

CAH SOH