Let `A=sin^8theta+cos^(14)theta;` then for all real `theta`

Options

A. `Alt=1`
B. 0
C. 1/2
D. none of these

Explanation

To solve the problem, we need to analyze the expression \( A = \sin^8 \theta + \cos^{14} \theta \) and determine its range for all real values of \( \theta \).

### Step-by-Step Solution:

1. **Understanding the Range of Sine and Cosine Functions:**
- The sine and cosine functions have a range of values between 0 and 1 for all real \( \theta \).
- Therefore, \( 0 \leq \sin^2 \theta \leq 1 \) and \( 0 \leq \cos^2 \theta \leq 1 \).

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