Why do we need homework?

1. Homework has been a part of students' life from the beginning of formal school.
2. However, the practice has sometimes been accepted and other times rejected, both by educators and parents. This has happened because homework can have both positive and negative effects on children's learning and attitudes towards school.
3. Some educationists of the view that homework should not be given to students. Giving homework means creating in the child school mania in the home also.
4. Others are of the view that five hours in the school is in sufficient and it must be supplemented by some work at home. It is not the homework that is objectionable, but its nature and amount which invites criticism.
   
5. But the importance and need of homework cannot be minimized, if it is of a right nature. It utilizes the leisure time of the children, which otherwise would have been wasted. It may establish the habit of working hard and that too regularly.
   
6. We know that good assignments, completed successfully, can help children develop wholesome habits and attitudes.
7. Homework can help parents learn about their children's education and communicate both with their children and the schools. And it can encourage a lifelong love of learning. Homework can have many benefits for young children.
   
8. It can improve remembering and understanding of schoolwork. Homework can help students develop study skills that will be of value even after they leave school. It can teach them that learning takes place anywhere, not just in the classroom.
   
9. Homework can benefit children in more general ways as well. It can foster positive character traits such as independence and responsibility.
   
10. Homework can teach children how to manage time.

Pythagorean identities

Trigonometry Ratios-Mnemonics

• Students often use mnemonics to remember facts and relationships in trigonometry.
• For example, the sine, cosine, and tangent ratios in a right triangle can be remembered by representing them as strings of letters, as in SOH-CAH-TOA.
  Sine = Opposite ÷ Hypotenuse
  Cosine = Adjacent ÷ Hypotenuse
  Tangent = Opposite ÷ Adjacent
• Alternatively, one can devise sentences which consist of words beginning with the letters to be remembered.
• For example, to recall that Tan = Opposite/Adjacent, the letters T-O-A must be remembered. Any memorable phrase constructed of words beginning with the letters T-O-A will serve.
  
• Another type of mnemonic describes facts in a simple, memorable way, such as "Plus to the right, minus to the left; positive height, negative depth," which refers to trigonometric functions generated by a revolving line.