Chapter 6: Q. 7 (page 436)

find the exact value of the expression
sin $(\frac{π}{6})$

Short Answer

Expert verified

$\sin (\frac{π}{6}) = \sin 30 ° = \frac{1}{2}$

Step by step solution

Step 1. Given information

sin $(\frac{π}{6})$

Step 2. Considering a right angled triangle

Firstly we consider a right angled triangle in which one angle is 30° $(\frac{π}{6})$ and the third angle is $60 ° (\frac{π}{3})$

Let the sides of the triangle be a=1 , c=2

So , by Pythagorean theorem

$c^{2} = a^{2} + b^{2} b^{2} = c^{2} - a^{2} b^{2} = 2^{2} - 1^{2} b = \sqrt{3}$

Step 3. Final value

$\sin (\frac{π}{6}) = \sin 30 ° = \frac{a}{c} = \frac{1}{2} s o t h e v a l u e o f \sin (\frac{π}{6}) i s \frac{1}{2}$

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find the exact value of the expression
sin $(\frac{π}{6})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Considering a right angled triangle

Step 3. Final value

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find the exact value of the expressionsin(π6)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Considering a right angled triangle

Step 3. Final value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Pure Maths

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Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

find the exact value of the expression
sin $(\frac{π}{6})$