Calculate trigonometric ratios for 30° and 60°

12 questions

1. Three trigonometric ratios are sine, cosine and ___.
2. Lucas has used his calculator to work out the value of \cos(48^\circ). What is the value to 2 decimal places?
3. Izzy has used her calculator to answer a trigonometry question. What is the length of the hypotenuse?
4. Laura has used her calculator to answer a trigonometry question. What is the length of the adjacent?
5. Andeep has attempted to use his calculator to answer a trigonometry question but has found himself with this message on his calculator. What might he have done wrong?
6. Which calculations are correct to find the length marked x?
7. Which type of triangle can help deduce the exact trigonometric ratios for 30^\circ and 60^\circ?
8. What is the exact value of \cos(30^\circ)?
9. What is the exact value of \sin(60^\circ)?
10. What is the exact value of \tan(60^\circ)?
11. What is the exact value of \cos(60^\circ)+\sin(30^\circ)?
12. What is the exact value of \sin(60^\circ)\times\tan(30^\circ)?

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