Chapter 7: Q. 2 (page 464)

Find $\sin (\frac{π}{4}) =; \cos (\frac{8 π}{3}) =_$

Short Answer

Expert verified

The value of $\sin (\frac{π}{4}) = \frac{1}{\sqrt{2}}; \cos (\frac{8 π}{3}) = - \frac{1}{2}$

Step by step solution

Step 1. Given Information

We have to find the value of

$\sin (\frac{π}{4}) =______; \cos (\frac{8 π}{3}) =_______$

Step 2. Firstly finding the value of sinπ4

We can write

$\sin (\frac{π}{4}) = \sin 45^{o}$

The value of

$\sin 45^{o} = \frac{1}{\sqrt{2}}$

So $\sin (\frac{π}{4}) = \frac{1}{\sqrt{2}}$

Step 3. Now finding the value of cos8π3

$\cos (\frac{8 π}{3}) = \cos (3 π - \frac{π}{3}) \cos (\frac{8 π}{3}) = - \cos (\frac{π}{3}) \cos (\frac{8 π}{3}) = - \frac{1}{2}$

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Find $\sin (\frac{π}{4}) =; \cos (\frac{8 π}{3}) =_$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Firstly finding the value of sinπ4

Step 3. Now finding the value of cos8π3

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Findsinπ4=______;cos8π3=_______

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Firstly finding the value of sinπ4

Step 3. Now finding the value of cos8π3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Geometry

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find $\sin (\frac{π}{4}) =; \cos (\frac{8 π}{3}) =_$