Question

2 sin 4 theta equals to 1 by 2, find theta​

Answer 1

Answer:

22.5

Step-by-step explanation:

2 Sin 4 theta = 1/2

Sin 4 theta = 1

Sin 4 theta = Sin 90. [Sin 90 = 1]

4 theta = 90 theta = 90/4

Theta = 22.5

Answer 2

Given: The equation$2sin4\theta=\frac{1}{2}$.

We have to find the value of $\theta.$

The given problem is solved in the following way,

$=>2sin4\theta=\frac{1}{2} \\\\=>\theta=\frac{1}{2} \times\frac{1}{2sin4\\}\\\\=>\frac{1}{2} \times7.16\\\\=>3.58$

Hence, The value of$\theta=3.583$.

By cross-checking,

$=>2sin4\times3.583=\frac{1}{2} \\\\=>0.49=\frac{1}{2} \\we can write 0.49=0.5\\=>0.5=0.5$

Therefore, $\theta=3.583$