1. Prove that

2 tan x / 2- sec^2 x = tan 2x.

Step-by-step explanation:

Use trig identities:

1

+

tan

2

x

=

1

cos

2

x

=

sec

2

x

(

1

−

tan

x

)

=

1

+

tan

2

x

−

2

tan

x

=

sec

2

x

−

2

tan

x

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%