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Math Homework question help me please?
(1 pt) Each expression simplifies to a constant, a single trigonometric function or a power of a trigometric function. Use fundamental identities to simplify each expression.
NOTE: The argument of the trig functions must be in parentheses (e.g. sin(x)).
Can you please show the work on how its done!!???
2 Answers
- ?Lv 73 years ago
1) sin(x)tan(x) / cos(x)
= (sin^2(x) / cos(x)) / cos(x)
= sin^2(x) / cos^2(x)
= tan^2(x).
2) (tan(x))^2 + sin(x)csc(x)
= tan^2(x) + sin(x)(1/sin(x))
= tan^2(x) + 1
= sec^2(x) (use the sec^2(x) - tan^2(x) = 1 identity).
3) (sec(x))^2 - 1
= sec^2(x) - 1
= tan^2(x) (again, sec^2(x) - tan^2(x) = 1).
4) tan(x)cos(x)
= (sin(x) / cos(x))(cos(x))
= sin(x) (cos(x) cancels out).
5) sec(x)cos(x)
= (1/cos(x))(cos(x))
= 1.
