Question

What is the value of $\sin 90^\circ + \cos 0^\circ$?

Hint:

Important values to memorize: \[ \sin 0^\circ = 0, \quad \sin 90^\circ = 1 \] \[ \cos 0^\circ = 1, \quad \cos 90^\circ = 0 \] These are frequently used in basic trigonometry.

Answer 1

Step 1: Understanding the Question:
We are asked to find the numerical value of the trigonometric expression \(\sin 90^\circ + \cos 0^\circ\).
Step 2: Key Formula or Approach:
This problem requires knowledge of the standard values of trigonometric ratios for specific angles, particularly \(0^\circ\) and \(90^\circ\). The key values are:
\[ \sin 90^\circ = 1 \] \[ \cos 0^\circ = 1 \] Step 3: Detailed Explanation:
The given expression is:
\[ \sin 90^\circ + \cos 0^\circ \] We substitute the known standard trigonometric values into this expression.
The value of \(\sin 90^\circ\) is 1.
The value of \(\cos 0^\circ\) is 1.
Substituting these values, we get:
\[ 1 + 1 \] Performing the addition:
\[ 1 + 1 = 2 \] Step 4: Final Answer:
The value of the expression \(\sin 90^\circ + \cos 0^\circ\) is 2.
\[ \boxed{2} \]