Karen Morrison and Nick Hamshaw Solutions for Exercise 7: Exercise 15.7

Write down the value of $\angle ACB$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

Use Pythagoras theorem to calculate length $AC$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

Use your diagram to find the exact value of $\sin 45°, \cos 45°$ and $\tan 45°$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

Write down the value of angle $y$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

Write down the value of $\angle z$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

The diagrams show a right-angled isosceles triangle and an equilateral triangle. Use Pythagoras theorem to calculate length $EG$.

Use your diagram to find the exact values of $\sin 30°, \cos 30°, \tan 30°, \sin 60°, \cos 60°, \tan 60°$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

Complete the table given below using the diagram.

$\begin{array}{cc}\sin {30}^o& \\ \cos 30°& \\ \tan {30}^o& \\ \cos {60}^o& \\ \sin {60}^o& \\ \tan {60}^o& \end{array}$