Skip to content

Course home

3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152
Question 149

A coastal surveillance system uses two intersecting paths for its detection beams, p1p_1p1​ and p2p_2p2​. The primary path p1p_1p1​ follows the line with equation 4y+3x=244y + 3x = 244y+3x=24. The path p1p_1p1​ intersects the yyy-axis at the point CCC.

a.

State the yyy-coordinate of CCC.

[1]
b.

A tracking station is located at the point D(6,1.5)D(6, 1.5)D(6,1.5), which lies on p1p_1p1​. A secondary beam p2p_2p2​ originates from DDD and is directed perpendicular to p1p_1p1​. The beam p2p_2p2​ intersects the yyy-axis at the point EEE.

Show that the yyy-coordinate of EEE is −6.5-6.5−6.5.

[3]
c.

A circular scanning sector BCEBCEBCE is defined with centre CCC and radius CECECE. Given that the central angle BCEBCEBCE is 0.80.80.8 radians,

find the length of the arc BEBEBE.

[2]
d.

The combined detection zone CBEDCBEDCBED is formed by the sector BCEBCEBCE and the triangular region CDECDECDE.

Calculate the exact area of the combined detection zone CBEDCBEDCBED.

[4]
Markscheme

3.5 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Trigonometry (A-level only)

225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank