Question

mode of sin1,sin2,... sin90

Answer 1

→Mode: The meaning of Mode is that value in the Data which occurs maximum number of times.

The set of Data is : sin1,sin2, sin3,..... sin90.

you must keep in mind : 360° = 2 π Radian

→ 180° = π Radian

→ 1 Radian = $\frac{180}{\pi}= \frac{180\times7}{22}$

                = 57°27'(approx) =A

The expression→ sin1,sin2, sin3,..... sin90  becomes sinA,sin2A,sin3A,sin4A,.........Sin90A.

→sin 2A = 2 sinA cosA and sin 3A = 3 sinA - 4 sin³A

→sinA,sin2A,sin3A,sin4A,.........Sin90A becomes sinA, 2 sinA,cosA, sinA(3-4sin²A)...........

→As you can see from the data sinA occurs maximum number of times which is equal to sin1.

→sin1 is mode of the data.→sin1,sin2, sin3,..... sin90.