aid of a diagram the value of (1) $$ 5 \cos \theta-3 \tan \theta $$

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To evaluate the expression $$5 \cos \theta - 3 \tan \theta$$, we can break it down into its components and analyze it step by step.

1. **Identify the trigonometric functions:**
   - $$\cos \theta$$ is the cosine of angle $$\theta$$.
   - $$\tan \theta$$ is the tangent of angle $$\theta$$, which can be expressed as $$\tan \theta = \frac{\sin \theta}{\cos \theta}$$.

2. **Substituting $$\tan \theta$$:**
   We can rewrite the expression as:
   $$
   5 \cos \theta - 3 \frac{\sin \theta}{\cos \theta}
   $$

3. **Finding a common denominator:**
   To combine the terms, we can express the first term with a common denominator:
   $$
   \frac{5 \cos^2 \theta - 3 \sin \theta}{\cos \theta}
   $$

4. **Final expression:**
   The expression can now be simplified to:
   $$
   \frac{5 \cos^2 \theta - 3 \sin \theta}{\cos \theta}
   $$

Now, if you want to evaluate this expression for a specific angle $$\theta$$, please provide the value of $$\theta$$. If you need a diagram to visualize the trigonometric functions, please specify that as well.
To evaluate $$5 \cos \theta - 3 \tan \theta$$, rewrite it as $$\frac{5 \cos^2 \theta - 3 \sin \theta}{\cos \theta}$$. For a specific $$\theta$$, substitute the angle to find the value.

aid of a diagram the value of (1) \[ 5 \cos \theta-3 \tan \theta \]

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