What is the reciprocal of tanB in the triangle below

A current schools question and answer requested students to tell what they admit is the most important important thing for a student to do in order to get success. One that response stood out from the rest was practice. People who usually are successful do not become successful by being born. They work hard and persistence their lives to succeeding. This is how you can reach your goals. down below some question and answer examples that you would probably make use of to enriches your knowledge and gain insight that will guide you to continue your school studies.


What is the reciprocal of tanB in the triangle below


In trigonometry, the reciprocal of the function “tangent” is cotangent. If in the figure, tan B is given, then we can solve for the reciprocal of the angle. If tan B = 3/2 and the triangle is a right triangle, we can use the Pythagorean theorem mixed with trigonometric identities:

tan B = 3/2 
tan B = opposite / adjacent
opposite = 3
adjacent = 2

therefore, cot B = adjacent / opposite
cot B = 2/3. 

We can only use this solution if the given triangle is a right triangle, if not, we may have to explore other solutions. 

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