Use a half-angle identity to find the exact value of tan 165 degrees

- 2

Step-by-step explanation:

Using the half- angle identity

tan( ) =

= 165° ⇒ x = 330°

sin330° = - sin30° = -

cos330° = cos30° =

tan165° =

            =

            = - ×

            = -

Rationalise by multiplying numerator/ denominator by the conjugate of the denominator

The conjugate of 2 + is 2 - , hence

tan 165°

= -

= -

= - (2 - )

= - 2 + = - 2

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

answer: the equation matches the regression

step-by-step explanation: