4.01 Trigonometric ratios

Convert the following angles to degrees, correct to two decimal places.

Convert the following angles to degrees and minutes:

Convert the following angles to degrees, minutes and seconds:

Round the following as indicated:

Write down the indicated ratios for the following triangles:

a

i

\tan \theta

ii

\sin \alpha

b

i

\sin \theta

ii

\tan \alpha

c

i

\cos \theta

ii

\cos \alpha

d

i

\tan \theta

ii

\sin \alpha

e

i

\cos \theta

ii

\tan \alpha

f

i

\sin \theta

ii

\cos \alpha

In the following triangle \cos \theta = \dfrac{6}{10}.

a

Which angle is represented by \theta?

b

Find the value of \sin \theta.

c

Find the value of \tan \theta.

In the following triangle, \sin \theta = \dfrac{4}{5}:

a

Which angle is represented by \theta?

b

Find the value of \cos \theta.

c

Find the value of \tan \theta.

Given \tan \theta = \dfrac{7}{3}, calculate the exact value of \sin \theta.

Find the value of f in the following triangles, correct to two decimal places:

a

b

Find the value of the pronumeral in the following triangles, correct to two decimal places:

a

b

c

d

Find angle \theta in the following triangles to the nearest minute:

a

b

c

d