Find the numerical value of the following trigonometric expressions 1) sin 30° + cos 60° tan 45°
To find the numerical value of the given trigonometric expressions, we need to evaluate each trigonometric function individually and then add them together.
1) sin 30°: The sine function of 30° is equal to 1/2.
2) cos 60°: The cosine function of 60° is equal to 1/2.
3) tan 45°: The tangent function of 45° is equal to 1.
So, sin 30° + cos 60° tan 45° = 1/2 + 1/2 * 1 = 1/2 + 1/2 = 1.
Thus, the numerical value of the given expression is 1.
To find the numerical value of the trigonometric expression sin 30° + cos 60° tan 45°, we will calculate each term step-by-step.
Step 1: Evaluate sin 30°
The sine of 30° is equal to 0.5.
Step 2: Evaluate cos 60°
The cosine of 60° is equal to 0.5.
Step 3: Evaluate tan 45°
The tangent of 45° is equal to 1.
Step 4: Substitute the values into the expression
sin 30° + cos 60° tan 45° = 0.5 + 0.5 * 1
Step 5: Perform the multiplication
0.5 + 0.5 = 1
Therefore, the numerical value of the expression sin 30° + cos 60° tan 45° is 1.
To find the numerical value of the trigonometric expressions, we can use the values of trigonometric functions for common angles.
1) sin 30°:
The value of sin 30° is equal to 1/2. This value can be obtained from the values of sin for the common angles, where sin 30° = 1/2.
2) cos 60°:
The value of cos 60° is equal to 1/2. This value can be obtained from the values of cos for the common angles, where cos 60° = 1/2.
3) tan 45°:
The value of tan 45° is equal to 1. This value can be obtained from the values of tan for the common angles, where tan 45° = 1.
Now, let's substitute the values into the expression:
sin 30° + cos 60° tan 45°
= 1/2 + 1/2 * 1
= 1/2 + 1/2
= 1
Therefore, the numerical value of sin 30° + cos 60° tan 45° is 1.