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How do you prove this trigonometric relationship sin3A equals 3sinA cos 2 A - sin 3 A?
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A) = 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A) = 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A) = 3*sin(A)*cos^2(A) - sin^3(A)
How do you make a math expression?
The most basic expressions are numbers and variables. Any combination of expressions with +, -, x, /, powers, or other special functions (such as sine, cosine, logarithm, etc.) are also expressions. Thus, each of the following is a valid math expression: 5 x x + 3 4xy ax2 + bx + c sin(x) / log(y)
What is cot x sin x simplified?
To simplify such expressions, it helps to express all trigonometric functions in terms of sines and cosines. That is, convert tan, cot, sec or csc to their equivalent in terms of sin and cos.
What are three different expressions for 2 and 3 over 4?
three different expressions for 2 and 3 over 4 = 2 3/4 or 11/4 or 2.75
What is the range of y equals -3 sin x?
sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
