A Level Further Maths Core Pure Year 2 Chapter 6: Mini test

sinh x =

• ½(e^x + e ^-x)

• ½(e^x - e ^-x)

Which does this describe: Domain: all real values. Range: -π/2 < y < π/2

• arctanh
• arsinh
• artanh
• arcosh

Which is true?

• cosh² x = 1 + sinh 2x

• sinh² x - cosh² x = 1

• cosh² x - sinh² x = 1

• cosh² x - sinh² x = 1

Apply Osborn's rule: (tan² x)(sin x) >>>

• - tan² x sin x

• tanh² x sinh x

• - tanh² x sinh x

• cosh x

• Partial fractions
• Take the 2 out the denominator
• Complete the square
• Reverse chain