Hi please help me with this math question

Step-by-step explanation:

cos(3x) = sin(2x)

Use reflection.

sin(π/2 − 3x) = sin(2x)

π/2 − 3x = 2x

π/2 = 5x

x = π/10

Instead, use multiple angle formulas.

cos(3x) = sin(2x)

4 cos³x − 3 cos x = 2 sin x cos x

4 cos³x − 3 cos x − 2 sin x cos x = 0

cos x (4 cos²x − 3 − 2 sin x) = 0

cos x (4 (1 − sin²x) − 3 − 2 sin x) = 0

cos x (4 − 4 sin²x − 3 − 2 sin x) = 0

-cos x (-4 + 4 sin²x + 3 + 2 sin x) = 0

-cos x (4 sin²x + 2 sin x − 1) = 0

If t = sin(π/10), then:

4t² + 2t − 1 = 0

Solve with quadratic formula:

t = [ -2 ± √(2² − 4(4)(-1)) ] / 2(4)

t = [ -2 ± √(4 + 16) ] / 8

t = (-2 ± 2√5) / 8

t = (-1 ± √5) / 4

Since π/10 is in the first quadrant, sin(π/10) is positive.

sin(π/10) = (-1 + √5) / 4

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925