Write down the following ratios for the given triangle:
For the following triangles, find \cos \theta:
For the following triangle, evaluate \sin \theta:
For the following triangle, evaluate \tan \theta:
For each of the following triangles:
Find the value of x.
Hence find the value of \sin \theta.
Hence find the value of \cos \theta.
For each of the following triangles:
Find the value of the missing side.
Find the value of \tan \theta.
In the following triangle, \sin \theta = \dfrac{4}{5}:
Which angle is represented by \theta?
Find the value of \cos \theta.
Find the value of \tan \theta.
Consider the following triangle:
Write down the value of \sin \left(90 \degree - \theta\right).
Write down the value of \cos \theta.
What do you notice?
Consider the following triangle:
Evaluate \dfrac{\sin \theta}{\cos \theta}.
Evaluate \tan \theta.
What do you notice?
In the following triangle \cos \theta = \dfrac{6}{10}.
Which angle is represented by \theta?
Find \sin \theta.
Find \tan \theta.
In the following triangle \tan \theta = \dfrac{15}{8}.
Which angle is represented by \theta?
Find \cos \theta.
Find \sin \theta.
Compare \cos \left(90 \degree - \theta\right) and \sin \theta.
Write down \cos \left(90 \degree - \theta\right) as a fraction.
Write down \sin \theta as a fraction.
Hence, does \cos \left(90 \degree - \theta\right) = \sin \theta?
Find the length g, correct to two decimal places.
For each triangle, find the value of f, correct to two decimal places:
Find the value of h in the following figure, correct to the nearest integer.
Find the value of x, the side length of the given parallelogram, to the nearest centimetre:
Find the value of \angle BAC in terms of x.
Find the acute angle \theta for the following, leaving your answers to the nearest tenth of a degree:
\sin \theta = 0.6125
\tan \theta = 2.748
\cos \theta = 0.1472
For the following triangles, find the value of x to the nearest degree:
Consider the given figure:
Find the following, rounding your answers to two decimal place:
x
y
z
Consider the following figure:
Find the following, rounding your answers to two decimal place:
x
y
A girl is flying a kite that is attached to the end of a 23.4 \text{ m} length of string. The angle between the string and the vertical is 21 \degree. The girl is holding the string 2.1 \text{ m} above the ground.
Find x, correct to two decimal places.
Hence, find the height, h, of the kite above the ground, correct to two decimal places.
Find the height of the tree, h, to two decimal places:
The longer side of a rectangular garden measures 14 \text{ m} . A diagonal path makes an angle of 26 \degree with the longer side of the garden.
If the length of the shorter side of the garden is y \text{ m} , calculate y to two decimal places.
If d is the distance between the base of the wall and the base of the ladder, find the value of d to two decimal places.
A ladder is leaning at an angle of 44 \degree against a 1.36 \text{ m} high wall. Find the length of the ladder, to two decimal places.
A ladder measuring 2.36 \text{ m} in length is leaning against a wall.
If the angle the ladder makes with the ground is y \degree, find the value of y to two decimal places.
In the diagram, a string of lights joins the top of the tree to a point on the ground 23.9 \text{ m} away. If the angle that the string of lights makes with the ground is \theta \degree, find \theta to two decimal places.
A ladder measuring 1.65 \text{ m} in length is leaning against a wall. If the angle the ladder makes with the wall is y \degree, find y to two decimal places.
