Preparing for University Calculus - Math and Computer Science

Problems: (answers on page 40)1. sin(2x) =(a) 2 sin(x) (b) sin(x) + cos(x) (c) cos(x) sin(x)(d) 2 cos(x) − 2 sin(x) (e) 2 cos(x) sin(x)2. cot(α) cos(α) sin(α) =(a) cos(α) sin(α) (b) sin 2 (α) (c) cos 2 (α) (d) cos(α) (e) sin(α)3. tan(α) cot(α) =(a) sin(α) (b)cos(α) (c) sin 2 (α) (d)cos 2 (α) (e) 14. If cos(θ) = √ (2)/2, then tan(θ) =(a) 2 (b) 1 (c) 0 (d) 1/2 (e) ±15. If tan(θ) = 3, then cot(θ) =(a) 3 (b) 1/3 (c) 0 (d) −3 (e) −1/36. If sin(γ) =1/3, sin(−γ) =(a) 2/3 (b) 1/3 (c) −1/3 (d) −2/3 (e) none of these7. If cos(γ) =1/3, cos(−γ) =(a) 2/3 (b) 1/3 (c) −1/3 (d) −2/3 (e) none of these8. If cos(α) =3/5, find cos(2α)9. How many angles θ between 0 ◦ and 360 ◦ have sin(θ) = cos(θ)?(a)0 (b)1 (c)2 (d)3 (e)410. How many angles θ between 0 ◦ and 360 ◦ have sin(θ) = sec(θ)?(a)0 (b)1 (c)2 (d)3 (e)435