Solve the equation sec for .
Did this page help you?
Solve the equation sec for .
Did this page help you?
Given that
tan
find the values of such that .
Did this page help you?
Solve the equation
Did this page help you?
Use the identity
to show that
can be written as
where to three significant figures.
Did this page help you?
Show that the equation cosec2 cosec can be written as
Hence, or otherwise, solve the equation
cosec2 cosec
Did this page help you?
Solve the equation
cos
State your answers as multiples of .
Did this page help you?
Sketch the graph of sec for .
sec
Did this page help you?
Solve the equation
cot2 cos cosec2
Did this page help you?
Solve the equation cosec for .
Did this page help you?
Given that
tan
find the values of such that .
Did this page help you?
Solve the equation
Did this page help you?
Use the identity
sincos sin sin cos
to show that
sin cos
can be written as
sin
Hence, or otherwise, solve the equation sin cos for .
Give your answers to three significant figures.
Write down the maximum value of sin cos and state the first positive value of for which it occurs. Give your value of to three significant figures.
Did this page help you?
Show that the equation tan2 sec can be written as
sec2 sec
Hence, or otherwise, solve the equation
tan2 sec
Give your answers to three significant figures.
Did this page help you?
Solve the equation
cos cos
State your answers as multiples of .
Did this page help you?
Sketch the graph of for .
By adding three lines to your graph demonstrate how the equation
cot2
where is a constant has either 0, 4 or 8 real solutions.
Did this page help you?
Solve the equation
cot2 sec2
Did this page help you?
Solve the equation sec2 tan for .
Did this page help you?
Given that
sin
and that
and
find the values of and .
Did this page help you?
Solve the equation
Did this page help you?
Show that cos sin can be written in the form cos, where and is an acute angle measured in radians.
Hence, or otherwise, solve the equation cos sin ,for
Give your answers to three significant figures.
Write down the minimum value of cos sin and the smallest positive value of for which it occurs. Give your value of to three significant figures.
Did this page help you?
Solve the equation
cot2 cosec
giving your answers to three significant figures where appropriate.
Did this page help you?
Solve the equation
cos4 cos
State your answers as multiples of .
Did this page help you?
Determine the values of the constant for which the equation
cosec
has (i) no real solutions,
(ii) 1 real solution,
(iii) 2 real solutions,
(iv) 4 real solutions
Did this page help you?
Solve the equation
cot2 cosec
Give your answers to one decimal place where appropriate.
Did this page help you?
Solve the equation sin3 sin cos2 for .
Did this page help you?
Given that
cos and tan
and that
find the possible values of and .
Did this page help you?
Solve the equation sin cos ,for .
Give your answers to three significant figures.
Write down the maximum value of sin cos and the second positive value of for which it occurs. Give your value of to three significant figures.
Did this page help you?
Solve the equation
sec4 tan2
giving your answers to three significant figures where appropriate.
Did this page help you?
Solve the equation
cosec2
Give your answers to three significant figures.
Did this page help you?
Solve the equation
sin4 cos
State your answers as multiples of .
Did this page help you?
The number of real solutions to the equation
is determined by the value of the constant .
Find the number of real solutions for all values of , given that .
Did this page help you?
Given that is a root of , solve the equation by factorisation.
Solve the equation
Give your answers to one decimal place where appropriate.
Did this page help you?