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ghari112345
23.07.2020 •
Mathematics
50 points Simplify the expression. sin^2 theta/csctheta tan^2theta a. sin^2 theta b.sin cos^2 theta c.sec^2 theta d. csc theta
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Ответ:
B. sin(theta) cos^2(theta)
Step-by-step explanation:
sin^2(theta) / csctheta tan^2(theta)
To solve, we convert to sine and cosine and then simplify.
means by the priority of operators (* and / from left to right)
(sin^2(theta) / csctheta) * tan^2(theta)
= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2
= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)
= sin^5(theta) / cos^2(theta)
which obviously does not correspond to any of the answers.
IF the expression were missing parentheses in the denominator, then it becomes:
sin^2(theta) / (csctheta tan^2(theta))
= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))
= sin^2(theta) / (sin(theta)/cos^2(theta)
= sin(theta) cos^2(theta)
which corresponds to answer B.
Ответ:
Step-by-step explanation:
Simplify the expression.
Ответ:
1/3 is a fraction
33% is a percentage