Recently Active Trignometry Questions

Q . Solve: cos-1 x2-1/x2+1 + tan-1 2x/x2-1 = 2 π/3 I'm getting ± 3 but the book says 3 , 2 - 3 ! [7] ...

$\textbf{Solve for $\mathbf{x}$: }$\\\\ \mathbf{\left(sin\;x+\sqrt{1+sin^2\;x}\right).\left(cos\;x+\sqrt{1+cos^2\;x}\right)=1}$ ...

1. Solve the inequality sin x + cos 2x > 1 if 0 ≤ x ≤ π/2 2. For a triangle ABC, it is given that : cos A + cos B + cos C = 3/2. Prove that the triangle is equilateral. ...

$\textbf{If $\mathbf{S=(sin\;x+sin\;2x+sin\;4x)^5 -(-sin\;x+sin\;2x+sin\;4x)^5-(sin\;x-sin\;2x+sin\;4x)^5-(sin\;x+sin\;2x-sin\;4x)^5$}}$\\\\ $\textbf{Then Calculate value of $\mathbf{S}$ at $\mathbf{x=20^0}$}. ...

If tan A=ntanB , sinA=msin B prove that cos2A= m2-1/n2-1 ...

$\textbf{Smallest root of $\mathbf{\sqrt{sin(1-x)} = \sqrt{cosx}}$}$ ...

Find\; maximum\; value\; of \frac{\Delta ^3}{abc(a+b-c)(b+c-a)(c+a-b)} ...

1. If ABCD is cyclic quadrilateral, show that AC . BD = AB . CD + BC . AD 2. In a ΔABC, show that a3 cos (B – C) + b3 cos (C – A) + c3 cos (A – B) = 3 abc ...

1. A man observes, that when he moves up a distance c meters on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is 30º; and when he moves up further a distance c meters the angl ...

Please help me.... *Image* ...

$\textbf{No. of Real roots of the equation $\mathbf{|sin\;x|+sin\;|x|=2-\frac{x^2}{8}}$}$ ...

$\textbf{If $\mathbf{\sqrt{9-8.sin\;50}=a+b.cosec\;50}$, Where $\mathbf{a,b\in\mathbb{Z}}$.Then find $\mathbf{ab=}$$} ...

1. Find the real values of a so that a2+2a,a2+3a+8,2a+3 are the sides of a triangle. 2. If x=2+21/3+22/3 then the value of x3-6x^2+6x is ? 3. Find the eqn whose roots are two more than the roots of ax^2+bx+c=0 . ...

$Prove That $\mathbf{tan\left(\frac{\pi}{11}\right)\times tan\left(\frac{2\pi}{11}\right)\times tan\left(\frac{3 \pi}{11}\right)\times tan\left(\frac{4\pi}{11}\right)\times tan\left(\frac{5\pi}{11}\right)=\sqrt{11}} ...

(1 + tan5°) (1 + tan10°) (1 + tan15°).........( 1 + tan45°) = 2k , then k equals ___ then answer is an integer (0 - 9) ...

$\textbf{If} $\mathbf{f(x)=sin\left(\frac{2x}{1+x^2}\right)+cos\left(\frac{4x}{1+x^2}\right)+1}$\\\\\\ \textbf{Then find Max. and Min. value of f(x)}. ...

let A denotes the value of expression X4 + 4X3 + 2X2 - 4X + 7 when X= cot11pi/8 and B denotes the value of expression ( 1- cos8y)/ tan24y + (1+cos8y)/ cot24y when y=9° the value of (A-B) is ____ the question is integer type ...

$Solve The Equation $\mathbf{\sqrt{sinx}+sinx+sin^2x+cosx=1}$\\\\ \mathbf{Ans:=}::$\mathbf{x=2k\pi,\pi-sin^{-1}\left(\frac{\sqrt{5}-1}{2}\right)+2k\pi}$ Where $\mathbf{k\in \mathbb{Z}}$ ...

Let us break the rules .. Let the co domain of sin-1x be ( pi/2 , 3pi/2 ) tan-1x be ( pi/2 , 3pi/2 ) cos-1x be (pi, 2pi) cot-1x be (pi,2pi) 1)Then prove that f(x) = 3sin-1x - 2cos-1x is an odd function. 2) Find the minimum va ...

Solve for x (a) |x2 + 3x| + x2 - 2 > 0 (b) |x + 3| > |2x - 1| ...

Q) If A and B be two sets containing 3 and 6 elements respectively. What can be the minimum number of elements in AUB? Find also, the maximum number of elements in AUB. ...

draw the graph of sec-1x and cosec-1x ...

If \frac{x(y+z-x)}{log(x)}=\frac{y(z+x-y)}{log(y)}=\frac{z(x+y-z)}{log(z)} , prove that: y^z.z^y=z^x.x^z=x^y.y^x ...

$ \displaystyle\prod_{n=1}^{15}cos\left(\frac{n\pi}{15}\right)=$\\\\ ...

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*Image* In the given triangle LBAD = 30° , AB = AC and AD = AE then find the value of sin LEDC. level A sitter question :P ...

The equation mod ax2+b modx+c=0 has exactly k real roots (b2-4ac≠0) then find the conditions for 1) k=1. 2) k=2. 3) k+3 and 4) k+4. mod- modulus.. please!! will someone tell me how to copy the equations written on the latex ...

FInd teh value of : (4 cos29 - 3)(4 sin263 - 3) ...

In triangle ABC , the minimum value of tan2A/2 + tan2B/2 + tan2C/2 is equal to ...

Find the angle at the vertex of an isosceles triangle of max area for the given length 'l' of the median to 1 of its equal sides. Also find the max area. ...