High School Practice Problems
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Mendham High School
Ixl Algebra 2
Trigonometric Identities Quiz
1. Simplify the expression: 5[sin²(x) + cos²(x)].
5
2
3
1.5
2. Simplify the expression: 7 + tan²(x).
6 + csc²(x)
6 + cos²(x)
6 + sin²(x)
6 + sec²(x)
3. Simplify the expression: sin²(x) - cos²(x).
2 - 3cos³(x)
1 - 5cos²(x)
1 - 2cos²(x)
2 - 2cos²(x)
4.Simplify the expression: tan(x) / csc(x).
sin²(x) / cos(x)
2sin²(x) / 3cos(x)
cos²(x) / cos(x)
sin²(x) / sin(2x)
5. Simplify the expression: sin(2x)cos(2x).
2sin(x)cos³(x) - sin³(x)cos(x)
2sin(x)cos³(x) - 2sin³(x)cos(x)
3sin(x)cos³(x) - sin³(x)cos(x)
3sin(x)cos³(x) - 2sin³(x)cos(x)
6. Simplify the expression: sin(x) / cos(x) + cos(x) / sin(x).
cos(x)sec(x)
csc(x)cos(x)
sin(x)sec(x)
csc(x)sec(x)
7. Simplify the expression: sin(2x)csc(x).
cos²(x)
sec²(x) + 2
2cos(x)
sin²(x) + 3
8. Simplify the expression: [1 + cos²(x)] / [1 - cos²(x)].
csc²x + cot²x
1 / cos²(x)
sec²x + cot²x
sin²x + cos²x
9. Simplify the expression: tan(x)sec(x)sin(2x)csc(x)cot(x).
3sec(x)
3sin(x)
2sin(x)
2cos(x)
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