Question

Sin35° cos5°-sin5° cos35°

Answer 1

=sin(35-5)=sin 30°=1/2

.........

Answer 2

To calculate the value of the expression, we can use trigonometric identities. Specifically, we'll use the difference of angles identity:

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

In this case, A = 35° and B = 5°. Let's plug in the values:

sin(35° - 5°) = sin(30°)

Now, we know that sin(30°) = 0.5 (you might have learned this value from the unit circle or other trigonometric references).

So, the value of the expression is:

sin(35°)cos(5°) - sin(5°)cos(35°) = 0.5 - (sin(5°)cos(35°))

Now, we need to calculate sin(5°) and cos(35°). Unfortunately, the values of these trigonometric functions are not commonly known, so we'll need a calculator to approximate them.

Using a calculator, we get: sin(5°) ≈ 0.08716 cos(35°) ≈ 0.81915

Now, plug these values back into the expression:

0.5 - (0.08716 * 0.81915) ≈ 0.5 - 0.07128 ≈ 0.42872

So, the approximate value of the expression is 0.42872.