cos 45°sec 30° + cosec 30°

Sure, let's solve this step by step:

1. First, we need to know the values of cos 45°, sec 30°, and cosec 30°.

2. The value of cos 45° is √2/2 or 0.7071 (approx).

3. The value of sec 30° is 2/√1 or 2.

4. The value of cosec 30° is 2/√1 or 2.

5. Now, substitute these values into the equation:

   cos 45°sec 30° + cosec 30° = (√2/2 * 2) + 2 = √2 + 2 = 2.4142 (approx).

So, the answer is approximately 2.4142.

Sure, let's solve this step by step:

1. First, we need to know the values of cos 45°, sec 30°, and cosec 30°.

2. The value of cos 45° is √2/2 or 0.7071 (approx).

3. The value of sec 30° is 2/√1 or 2.

4. The value of cosec 30° is 2/√1 or 2.

5. Now, substitute these values into the equation:

   cos 45°sec 30° + cosec 30° = (√2/2 * 2) + 2 = √2 + 2 = 2.4142 (approx).

So, the answer is approximately 2.4142.

Sure, let's solve this step by step:

1. First, we need to know the values of cos 45°, sec 30°, and cosec 30°.

2. The value of cos 45° is √2/2 or 0.7071 (approx).

3. The value of sec 30° is 2/√3 or 1.1547 (approx). Sec is the reciprocal of cosine. So, sec 30° = 1/cos 30°. And we know that cos 30° = √3/2. Therefore, sec 30° = 2/√3.

4. The value of cosec 30° is 2. Cosec is the reciprocal of sine. So, cosec 30° = 1/sin 30°. And we know that sin 30° = 1/2. Therefore, cosec 30° = 2.

5. Now, substitute these values into the equation: cos 45°sec 30° + cosec 30° = (√2/2 * 2/√3) + 2

6. Simplify the equation: (√2/√3) + 2 = 0.8165 + 2 = 2.8165 (approx).

So, the value of cos 45°sec 30° + cosec 30° is approximately 2.8165.