Unit 1 Review

Question 1

Sin(2theta)

Answer 1

= 2sin(theta)cos(theta)

Question 2

Cos(2theta)

Answer 2

= cos squared (theta) - sin squared (theta)
= 2cos squared (theta) - 1
= 1 - 2sin squared (theta)

Question 3

Tan(2theta)

Answer 3

2tan(theta) divided by 1 - tan squared (theta)

Question 4

Law of Sines

Answer 4

Sin a / a = Sin b / b = Sin c / c

Question 5

Law of cosines

Answer 5

a^2 = b^2 + c^2 - 2bc(cos(a))
b^2 = a ^2 + c^2 - 2ac(cos(b))
c^2 = a^2 + b^2 - 2ab(cos(c))

Question 6

Integral of a^u du

Answer 6

=( a^u divided by lna ) + C

Question 7

Integral of 1/u du

Answer 7

= ln|u| + C

Question 8

Integral of ( 1 / au + b ) du

Answer 8

(1/a) * ln|au*b| + C