Trigonometry To be able to find missing angles

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

Using a calculator sin (30) = (shift , 9 , 3 , = , AC) -1 sin (0. 5) = cos 45 = -1 tan (0. 8) = if sin(x) is 0. 6 - what is x?

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

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

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

S O H C A H T O A

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

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

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

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

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

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

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

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

CAH SOH