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1.7 Trigonometry

1.7 Trigonometry

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Question 187

A designer is creating a custom metal plate in the shape of a logo, PQRSPPQRS PPQRSP. The logo consists of a major sector PQROPQROPQRO of a circle with centre OOO and radius 12 cm12\text{ cm}12 cm, joined to a triangle POSPOSPOS. The point SSS lies on the radius OROROR. The length of the straight edge PSPSPS is 10 cm10\text{ cm}10 cm and the angle POSPOSPOS is 0.75 radians0.75\text{ radians}0.75 radians.

a.

Find the area of the major sector PQROPQROPQRO, giving your answer to one decimal place.

[2]
b.

Given that the angle PSOPSOPSO is obtuse,

find the size of angle PSOPSOPSO in radians, giving your answer to 3 decimal places.

[3]
c.

Determine the total perimeter of the shape PQRSPPQRS PPQRSP, giving your answer to one decimal place.

[4]
Markscheme

1.7 Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.7 Trigonometry

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.

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