Given that sin(𝐴 + 𝐵) = sin 𝐴 cos𝐵 +
cos 𝐴 sin𝐵, find the value of sin 105 °.
A. √42 (√3 + 1)
B. √42 (√3 − 1)
C. √42 (1 − √3)
D. √6 + √2
1
We can use the fact that 105° = 60° + 45°. Using the sum formula for sine, we have:
sin(105°) = sin(60° + 45°)
= sin(60°)cos(45°) + cos(60°)sin(45°)
= (√3/2)(√2/2) + (1/2)(√2/2)
= (√6 + √2)/4
Therefore, the answer is option D.
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Do you know what it is called when someone’s shirt is hung while they’re still wearing it?
Yes, this is commonly referred to as a "shirtdrop" or "shirt hang." It usually happens accidentally when someone is trying to pull their shirt out from being tucked in and it gets caught on something, causing the shirt to lift up and hang from their body.
Name something’s a shirt can be hung on please?
There are many things that a shirt can be hung on, here are a few examples:
1. Hanger: A shirt can be hung on a clothes hanger, which can be made of plastic, wood or metal.
2. Hook: A shirt can be hung on a hook, which can be attached to a door or wall.
3. Clothesline: A shirt can be hung on a clothesline, which is used to dry clothes outdoors.
4. Peg: A shirt can be hung on a clothes peg, which is a clip used to secure clothes to a line or hanger.
5. Rack: A shirt can be hung on a rack, which is a piece of furniture or fixture with hooks or bars used to hang clothes.
Name something circular shaped that you can hang your shirt on
Here are a few circular-shaped items that you can hang your shirt on:
1. Coat hook: A coat hook is often circular-shaped and can hold a few items of clothing, including a shirt.
2. Wall-mounted hanger: A wall-mounted hanger can be circular-shaped and has hooks or pegs on which to hang clothing.
3. Valet stand: A valet stand is essentially a freestanding rack or pole for hanging clothes, and can have a circular shape.
4. Clothes rack: A clothes rack can be circular-shaped and has bars or hooks for hanging clothes.
5. Tie rack: A tie rack is often circular in shape and can be used to hang shirts as well, especially if they're made of delicate or silky materials.