Answer:
21. yes 22. yes 23: no 24:no 25:yes
EZ
24 and 20
Step-by-step explanation:
opposite sides are equal
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
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Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
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(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32
cos34°
sin56°
Sin(2x+42)= sin90-(3x+13)
Sin(2x+42) = sin(90-13-3x)
Sin(2x+42) = sin(77-3x)
2x + 42 = 77-3x
5x. = 35
X = 7
If x = 7
cos(3x+13) = cos((3*7)+13)
cos(3x+13) = cos(21+13)
cos(3x+13)= cos34
And
sin(2x+42) = sin((2*7)+42)
sin(2x+42)= sin (14+42)
sin(2x+42) = sin56