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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Prove that: 2. 2sin2π/6 + cosec27π/6 cos2π/3 = 3/2
Solution:
We know that:
cos π/3 = 1/2, sin π/6 = 1/2 and cosec 7π/6 = -2 (by trigonometric table).
Substituting these values in the LHS,
LHS = 2 sin2π/6 + cosec27π/6 cos2π/3
= 2 × (1/2)2 + (-2)2 × (1/2)2
= 2 × (1/4) + 4 × (1/4)
= (1/2) + 1
= 3/2
= RHS
NCERT Solutions Class 11 Maths Chapter 3 Exercise 3.3 Question 2
Prove that: 2. 2sin2π/6 + cosec27π/6 cos2π/3 = 3/2
Summary:
We got, 2sin2π/6 + cosec27π/6 cos2π/3 = 3/2. Hence Proved.
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