Math

Question 1

Trig Identities

sin^2(x)=?

Power Reduction Formula

Answer 1

(1/2)(1-cos(2x))

Question 2

Trig Identities

cos^2(x)=?

Power Reduction Formula

Answer 2

(1/2)(1+cos(2x))

Question 3

Trig Identities

tan^2(x)=?

Power Reduction Formula

Answer 3

(1-cos(2x)) / (1+cos(2x))

Question 4

Trig Identities

sin^2(Θ) + cos^2(Θ) = ?

Pythagorean Identity

Answer 4

1

Question 5

Trig Identities

tan^2(Θ) + 1 = ?

Pythagorean Identity

Answer 5

sec^2(Θ)

Question 6

Trig Identities

1 + cot^2(Θ) = ?

Pythagorean Identity

Answer 6

csc^2(Θ)

Question 7

Trig Identities

sin(-x) = ?

Answer 7

-sin(x)

Question 8

Trig Identities

cos(-x) = ?

Answer 8

cos(x)

Question 9

Trig Identities

tan(-x) = ?

Answer 9

-tan(x)

Question 10

Trig Identities

sin(2Θ) = ?

Answer 10

2sin(Θ)cos(Θ)

Question 11

Trig Identities

cos(2Θ) = ?

Answer 11

cos^2(Θ) - sin^2(Θ) = ?

1 - sin^2(Θ) = ?

2cos^2(Θ) - 1

Question 12

Trig Identities

tan(2Θ) = ?

Answer 12

(2tan(Θ)) / (1-tan^2(Θ))

Question 13

Integrals

∫ sec^2(u) du = ?

Answer 13

tan(u) + C

Question 14

Integrals

∫ sec(u)tan(u) du = ?

Answer 14

sec(u) + C

Question 15

Integrals

∫ csc(u)cot(u) du = ?

Answer 15

-csc(u) + C

Question 16

Integrals

∫ csc^2(u) du = ?

Answer 16

-cot(u) + C

Question 17

Integrals

∫ tan(u) du = ?

Answer 17

ln|sec(u)| + C

Question 18

Integrals

∫ sec(u) du = ?

Answer 18

ln|sec(u) + tan(u)| + C

Question 19

Integrals

∫ 1/(a^2 + u^2) du = ?

Answer 19

(1/a) tan^-1(u/a) + C

Question 20

Integrals

∫ 1/√(a^2 - u^2) du = ?

Answer 20

sin^-1(u/a) + C

Question 21

Integrals

∫ 1/√(1-u^2) du = ?

Answer 21

-cos^-1(u) + C

Question 22

Integrals

∫ 1/(1 + u^2) du = ?

Answer 22

tan^-1(u) + C

Question 23

Integrals

∫ 1/(u)√(u^2 - 1) du = ?

Answer 23

sec^-1(u) + C

Question 24

Integrals

∫ a^u du = ?

Answer 24

(a^u)/(log(a)) + C

Question 26

∫cot(x) dx = ?

Answer 26

ln|sin(x)| + C