# Trigonometry Problems

## Transcribed Text

1. Given that cos(α) = 0.6, α < π 2 , and without the use of a calculator: i) cos π 2 − α  ii) cot π 2 − α  2. Given that tan α = 3, nd without the use of a calculator: i) sin α ii) cos α and verify that sin2 α + cos2α = 1 3. Given that sin θ = a b , a < b, nd in terms of a and b: i) tan θ ii) sec θ and verify that sec2 θ − tan2 θ = 1 4. Find, without the use of a calculator the exact value of: i) sin −210◦ ii) cos 405◦ iii) tan − 7π 4 iv) cos ec 11π 6 v) sec 5π 4 vi) cot 1 4 π 5. Within the range 0 ≤ α ≤ 270◦ , and all value of α for which: i) sin α = −0.2 ii) cos α = 0.1 iii) tan α = −0.8

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