Determine the phase angles ϕ\phiϕ, in the range −60∘<ϕ<60∘-60^\circ < \phi < 60^\circ−60∘<ϕ<60∘, that satisfy the following equilibrium condition for a mechanical oscillator:
5sin(3ϕ+10∘)+2cos(3ϕ+10∘)=0 5 \sin(3\phi + 10^\circ) + 2 \cos(3\phi + 10^\circ) = 0 5sin(3ϕ+10∘)+2cos(3ϕ+10∘)=0giving your answers to one decimal place.
A periodic voltage signal V V\,V follows the model
5sin2t−8cost=2 5 \sin^2 t - 8 \cos t = 2 5sin2t−8cost=2Find all values of t t\,t in the range 0<t<2π 0 < t < 2\pi\,0<t<2π for which this model holds, giving your answers to 3 significant figures.
317 exam-style questions on OCR (MEI) A Level Maths 1.7 Trigonometry, covering 1.7.1 Solve right-angled triangles, 1.7.2 Definitions of sin, cos and tan for any angle, 1.7.3 Graphs of sin, cos and tan, 1.7.4 Exact values of trig functions (degrees), 1.7.5 Area of a triangle, 1.7.6 Sine and cosine rules, 1.7.7 Identity tan = sin/cos, 1.7.8 Identity sin^2 + cos^2 = 1, 1.7.9 Solve simple trigonometric equations, 1.7.10 Exact values of trig functions (radians) (A-level only), 1.7.11 Inverse trigonometric functions (A-level only), 1.7.12 Radians and degree conversion (A-level only), 1.7.13 Arc length and area of a sector (A-level only), 1.7.14 Small angle approximations (A-level only), 1.7.15 Sec, cosec and cot functions (A-level only), 1.7.16 Graphs of reciprocal trig functions (A-level only), 1.7.17 Pythagorean identities for sec and cosec (A-level only), 1.7.18 Compound angle formulae (A-level only), 1.7.19 Double angle identities (A-level only), 1.7.20 Expressions for a cos θ ± b sin θ (A-level only), 1.7.21 Use identities to solve equations (A-level only), 1.7.22 Proofs involving trigonometric functions (A-level only), 1.7.23 Trig to solve problems in context (A-level only), and 1.7 Trigonometry. Each one has a worked solution and a mark scheme showing where the marks go.