If sec(A) = 4/3, then the value cot(A) is
The given trigonometric identity is:
.........................(*)
Note that:
.........................(**)
Comparing (*) and (**)
Hypotenuse = 4
Adjacent = 3
Find the opposite using the Pythagoras theorem
Hypotenuse² = Opposite² + Adjacent²
4² = Opposite² + 3²
Opposite² = 4² - 3²
Opposite² = 16 - 9
Opposite² = 7
Opposite = √7
cot(A) = Adjacent/Opposite
cot(A) = 3/√7
Rationalize the expression
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