If tan = 3/4 , find all other trigonometric ratios
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4
Answer:
cot = 4/3
sin = 3/5
cos = 4/5
sec = 5/4
cosec = 5/3
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tan@ = 3/4
cot@ = 1/tan@ = 4/3
cosec²@-cot²@ =1
cosec²@ = 1-(4/3)² = 1-16/9 = =9-16/9 = 7/9
cosec@ = √7/ 3
sin@ = 1/cosec@ = 3/√7
sin²@+cos²@ = 1
(3/√7)² + cos²@ = 1
cos²@ = 1- 9/7 = 7-9/7 = 2/7
cos@ = √2/7
sec@ = 1/cos@ = √7/2
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