SOLUTION: please help me. what is _________1___________ _____ = sin theta cot theta sec theta
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-> SOLUTION: please help me. what is _________1___________ _____ = sin theta cot theta sec theta
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Question 1180758
:
please help me. what is
_________1_________________ = sin theta
cot theta sec theta
Found 2 solutions by
Theo, greenestamps
:
Answer by
Theo(13342)
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see my worksheet below.
i used x instead of theta.
no change in the formulas except a change of variable name.
step 1 shows the original equation.
step 2 changes cot(x) to equivalent form of 1/tan(x). and changes sec(x) to equivalent form of 1/co(x).
step 3 converts 1/(1/tan(x)) to equivalent form of tan(x) and converts 1/(1/cos(x)) to equivalent form of cos(x).
note that 1/tan(x) * 1/cos(x) is equivalent to 1 / (tan(x)*cos(x)) and that 1 / (1 / (tan(x)*cos(x))) = tan(x) * cos(x).
step 4 converts tan(x) to equivalent form of sin(x) / cos(x).
step 5 cancels cos(x) in numberator and denominator, leaving sin(x) = sin(x) which is true.
the original equation is confirmed to be true.
Answer by
greenestamps(13200)
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Poorly worded post.... The objective is to show that the expression on the left is identical to the expression on the right.