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The diagram shows an isosceles right-angled triangle:
(a) What is the length of the side marked x? (Leave your answer in root form.)
(b) How big is the angle marked θ?
(c) Give the exact values of:
(i) Sin θ
(ii) Cos θ
(iii) Tan θ
(a) x = cm
(b) θ = °
(c) Give the exact values of:
(i) Sin θ =
(ii) Cos θ =
(iii) Tan θ =
The diagram shows an equilateral triangle, ABC, with side-length 2 cm:
Z is the midpoint of BC.
(a) How big is the angle marked x? °
(b) How big is the angle marked y? °
(c) What is the length of side AZ? Give your answer in exact form.
(d) Give the exact values of: (as a fraction and in surd form where applicable)
(i) Sin 60° =
(ii) Cos 60° =
(iii) Tan 60° =
(iv) Sin 30° =
(v) Cos 30° =
(vi) Tan 30° =
(a) Calculate the length of RT. Leave your answer in surd form. cm
(b) Calculate the length of SU. Leave your answer in surd form. cm
(c) Give the exact value of:
(i) Tan 60° =
(ii) Tan 30° =
iii) Tan 45° =
Give the value of the following:
(a) Sin 0° =
(b) Sin 90° =
(c) Cos 90° =
(d) Tan 0° =
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