The value of 1 – sin 35° cos 55° is equal to:

Correct option is C

Given:

​$$1 - \sin 35^\circ \cos 55^\circ$$​​

Formula Used:

We know the following trigonometric identity:
​$$\cos 55^\circ = \sin 35^\circ$$​​
 Solution:

Substitute  $$\cos 55^\circ = \sin 35^\circ$$​into the expression:
​$$1 - \sin 35^\circ \cos 55^\circ = 1 - \sin^2 35^\circ$$​​

Use the Pythagorean identity:
​$$\sin^2 \theta + \cos^2 \theta = 1$$​​
which implies  $$\cos^2 35^\circ = 1 - \sin^2 35^\circ .$$​​

So,
​$$1 - \sin^2 35^\circ = \cos^2 35^\circ$$​​

The value of   $$1 - \sin 35^\circ \cos 55^\circ$$  = $$\cos^2 35^\circ$$ .​