Question

Sin(20) + 2sin^2(35)

Answer 1

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Answer 2

To calculate the value of sin(20) + 2sin^2(35), you'll need to use trigonometric identities and approximate values, as these angles are not commonly found on the unit circle.

1. Calculate sin(20 degrees):

To calculate sin(20 degrees), you can use a calculator. The approximate value is sin(20°) ≈ 0.3420.

2. Calculate sin(35 degrees):

To calculate sin(35 degrees), you can use a calculator. The approximate value is sin(35°) ≈ 0.5736.

3. Calculate 2sin^2(35 degrees):

First, square sin(35°): (sin(35°))^2 ≈ (0.5736)^2 ≈ 0.3292

Now, multiply by 2: 2 * 0.3292 ≈ 0.6584

4. Add sin(20 degrees) and 2sin^2(35 degrees):

0.3420 + 0.6584 ≈ 1.0004

So, sin(20) + 2sin^2(35) is approximately equal to 1.0004.