take a wire of any length and form a circle , rectangle , equilateral triangle and square compare their area and perimeter Derive th trignometric ratios of 30,45 and 60 degree(sinx, cos x, tanx , cotx , cosec x, sec x) .
Answers
Answer:-
Question
Answers
Related Questions
How do you find trigonometric ratios of 30, 45, and 60 degrees?
Answer
Hint: Right-angled triangle in an equilateral triangle (which is formed by dropping altitude from any vertex to its opposite side) and isosceles right-angled triangle are considered to be special right triangles. From these triangles, we can find the trigonometric ratios of basic angles. Trigonometric ratios are the ratios of the sides of some standard triangles like a special right triangle. In a triangle, according to the Pythagorean theorem, the sum of squares of the length of two adjacent sides is equal to the square of the length of the opposite side.
Complete step-by-step solution:
As per the given question, we have trigonometric ratios of 30, 45, and 60 degrees. Both 30∘
and 60∘
are based on an equilateral triangle with sides of length 2 and one of the angles bisected.
The 45∘
angle is based on an isosceles triangle with the equal sides having a length of 1.
Now, let’s consider the equilateral triangle which is shown below: