Skip to content

Course home

Sign up

1 Unit 1: Pure Mathematics A

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162
Question 2

In triangle DEFDEFDEF, ED=5cmED = 5\text{cm}ED=5cm and EF=6cmEF = 6\text{cm}EF=6cm. Given that sin⁡(∠DEF)=23\displaystyle \sin(\angle DEF) = \frac{2}{3}sin(∠DEF)=32​ and ∠DEF \angle DEF\,∠DEF is acute.

a.

Find the exact value of cos⁡(∠DEF)\cos(\angle DEF)cos(∠DEF)

[2]
b.

Find the length of DFDFDF.

[4]
c.

Find ∠EFD\angle EFD∠EFD.

[3]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

Question bank