sin squared plus cosine squared equals to a constant. 因此,证明了sin方+cos方始终为常数。 经过这些解释和推理,我们已经更好地理解了sin方+cos方的几何意义以及它为常数的证明。接下来,我们将进一步分析和讨论sin方+cos方在不同角度取值变化特点,以及它与其他函数的关系以及在实际应用中的作用和意义。 3. 分...
Prove that: (cos x) / (sin x - 1) + (cos x) / (1 + sin x) = -2 tan x. Prove that: {sin A} / {1 + cos A} + {sin A} / {1 - cos A} = 2 csc A. Prove. (sin x + cos x)^2 = 1 + sin 2x Prove that: sin (3x) + cos (3x) + sin...
The fundamental trigonometric identity establishes that the squared sum of the sine and cosine of an angle equals 1, {eq}\sin^2 x+\cos^2 x=1 {/eq}. This identity allows us to express the cosine as a function of the sine and vice versa. In fact, by knowing the va...
"x" squared plus "A" . "y" squared minus 1 Over 4 , EndFractionc=A.x2+A.y2−14 equals= negative 2.7 7 5 5 5 7 5 6 1 6 times 10 to the negative 17th power−2.7755575616×10−17 13 C: "C" equals left parenthesis, StartFraction, negative "b" plus StartRoot, "b...
If x + y = 12 and xy equals 50, what does x squared plus y squared equal to? What is \ln(2x)-\ln(2) equivalent to? What is arctan(x) equal to? Let f(x) = 1/x+12. What is f-1(x)? (a^(-2) + 4)^9 equals A) a^(-18) + 36a^(-16) + 1,152a^(-14) + ...
If x + y = 12 and xy equals 50, what does x squared plus y squared equal to? Translate the following English expression into mathematics: One is less than or equal to z. If sin6A = cos9A, then m A is...
Eliminate the parameter to find the cartesian equations for x equals sin squared of t and y equals cos squared of t. x= sin^{(2)}t, y=cos^{(2)}t .Hint: write y in terms of sin^{(2)}t. Consider the ...
x = t^2 + 1, y = t^2 + t Find the interval on which the curve of y equals the integral from 0 to x of 6 divided by the quantity 1 plus 2 times t plus t squared, dt is concave up. Find the line integral of f(x,\ y) = ye^{x...
Find the interval on which the curve of y equals the integral from 0 to x of 6 divided by the quantity 1 plus 2 times t plus t squared, dt is concave up. Which of these integrals gives the length of the curve y = sin x betwee...