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Simplifying Expressions

100

cot x(secx - cosx)

sinx

200

cotx/(cscx - sinx)

secx

300

secx - cosx/secx

sin²x

400

csc²x + sin²xsec²x

cot²x

500

(sinxcot²x)/(1 + sinx) + 1

cscx

Trig equations - simple isolation

100

-2 - 3sinx = 1 - 6sinx   (0, 2pi]

pi/2

200

5 - 2cotx = 4 - 3cotx    [pi, 2pi]

4pi/3

300

4 - tan²x = 7 - 2tan²x   [pi, 3pi/2]

5pi/6

400

cos²x - 3 = -2 - cos²x     [3pi/2, 2pi]

7pi/4

500

3cot²x - 1 = 11 - cot²x       [0,pi/2]

pi/6

TRig eqns - factoring

100

2sin²x = 1 - sinx     [pi/2, 2pi]

5pi/6, 3pi/2

200

tan⁴x - 1 = 0   [pi/2, 3pi/2]

3pi/4, 5pi/4

300

4cos³x +3 = 4cos²x + 3cosx   [3pi/2, 2pi]

11pi/6

400

tan³x - 2tanx = tanx       [pi, 3pi/2]

pi, 4pi/3

500

3sec²x(cscx) = 4cscx   [pi, 3pi/2]

7pi/6

Trig eqns - identities

100

cosx - 5 = -4 - sinx    [pi/2, 3pi/2]

pi/2

200

3sin²x - sinx - 2 = -cos²x   [3pi/2, 2pi]

11pi/6

300

tan²x + 3 = 3secx   [0, pi]

0, pi/3

400

sin²x = cosx + cos²x      [0, pi]

pi/3, pi

500

3csc²x - 4cot²x = 0     [pi, 2pi]

7pi/6, 11pi/6