Natural trigonometric functions


Assignment:

Q1. In a right triangle with the hypotenuse c = 10 and the angle A =50 degrees ,what is the value of side b ?

Q2. If in a right triangle the angle A = 40 degrees ,and the side a = 5,what is the value of side b ?

Q3. If in a right triangle the hypotenuse c =12 and the side b = 5, what is the value of the angle A ?

Use natural trigonometric functions in the next 2 problems

Q4. The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42'.
What is the length of the side adjacent to the given angle?

Q5. In an isosceles triangle each of the equal side is 10 meters and the base is 16 meters. Find the vertex angle accurate to the next minute.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Natural trigonometric functions
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