The image shows two mathematical problems:

1. Conversion to Degrees and Minutes:

   • "58.7° ="
   • This asks to convert 58.7 degrees into degrees and minutes.

2. Trigonometric Expression:

   • "2 tan 45° + sin 30°"
   • This asks to evaluate the expression without using a scientific calculator.

Let's solve them one by one:

1. Conversion of 58.7° to degrees and minutes:

The decimal part (0.7°) of 58.7° needs to be converted into minutes.

• $0.7 \times 60 = 42$ minutes.

Thus, 58.7° is equivalent to 58° 42'.

2. Simplifying $2 \tan 45° + \sin 30°$:

• $\tan 45° = 1$
• $\sin 30° = 0.5$

Now, substitute these values into the expression: $2 \times 1 + 0.5 = 2 + 0.5 = 2.5$

Therefore, the value of $2 \tan 45° + \sin 30°$ is 2.5.

Would you like more details on either problem or have any further questions?

Here are five related questions to expand on:

1. How do you convert degrees into radians?
2. What is the general formula for converting a decimal degree into minutes and seconds?
3. What is the value of $\cos 60°$ and why?
4. How can you simplify expressions involving other trigonometric ratios, such as $\cot$ and $\csc$?
5. What are some common angles with easily known sine, cosine, and tangent values?

Tip: For common trigonometric angles (like 30°, 45°, and 60°), memorizing their sine, cosine, and tangent values can help you solve problems faster without needing a calculator.