Nơi chia sẻ tri thức, kết nối cộng đồng và giải đáp mọi thắc mắc từ A–
Nơi chia sẻ tri thức, kết nối cộng đồng và giải đáp mọi thắc mắc từ A–
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Solve `sinx >-1/2`
To solve the inequality \( \sin x > -\frac{1}{2} \), we can follow these steps: ### Step 1: Understand the Sine Function The sine function oscillates ...
Find the general solution : `sin 2x + cos x = 0`
sin 2x + cos x = 0` `2 sin x cos x + cos x = 0` `cosx(2 sinx+1)=0` `cosx = 0` or `sinx = -1/2` `x=(2n+1)\ pi/2` or `x=n pi + (-1)^n\ (7 pi)/6, \ n in ZZ`
General solution of `sin2x=(1)/(2)` is
General solution of sin2x=(1)/(2) is... General solution of sin 2 x = 1 2 is. A. n π + ( - 1 ) n π 12 , n ∈ Z. B. n π + ( - 1 ) n π 6 , n ∈ Z.Read more
A complete factorisation of `( x ^(4) + 64)` is
To completely factor the expression x 4 + 64 , we can follow these steps: ### Step 1: Recognize the expression as a sum of squares The expression x 4 + 64 ...Read more
The sum of the series `1.2 + 2.3+ 3.4+……..` up to 20 tems is
To find the sum of the series \( 1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \ldots \) up to 20 terms, we can follow these steps: ### Step 1: Identify the General ...
Solve the trigonometric equation : `sin 3x + cos 2x = 0`
sin 13 x - sin 13 x cos 2x=0 Statement II Both x=r pi , r in I and x=(k pi )/(13) , k in I satisfies the trigonometric equation. sin 13 x - sin 13 x cos 2x =0.Read more
Solve `log_2|x-1|<1`
To solve the inequality log 2 | x − 1 | < 1 , we can follow these steps: ### Step 1: Rewrite the Logarithmic Inequality The inequality log 2 | x − 1 ...Read more
Write the following cube in expanded : `[x-2/3y]^3`.
Write the following cube in expanded : [ x - 2 3 y ] 3 . To view this video, please enable JavaScript and consider upgrading to a web browser thatsupports ...Read more
Prove that `cosA+cosB+cosC=1+r/R`
To prove that cos A + cos B + cos C = 1 + r R , where A , B , C are the angles of a triangle, r is the inradius, and R is the circumradius, ...Read more
Write balanced chemical equations for the reaction of dilute ...
Give balanced chemical equation for the action of sulphuric acid on each of the following: Potassium hydrogen carbonate. Watch solution.Read more
Evaluate: `int1/(sinx+cosx)\ dx`
1 sin x + cos x d x = ∫ sin 2 x sin x cos x + cos 2 x sin x cos x d x = ∫ tan x + cot x d x = log sec c + ( - log cos e c x ) + CRead more
What is `int(dx)/(xlnx)` equal to
What is int(dx)/(xlnx) equal to... What is ∫ d x x ln x equal to. A. ln ( ln x ) + C. B. ln x + C. C. ( ln x ) 2 + C. D. None of these.Read more
Expand : `(3x - 2y)^3`
To expand the expression \((3x - 2y)^3\), we can use the identity for the cube of a binomial, which states: \[ (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3 \] In ...
`CH_2 = CHCl` reacts with HCl to form
In CH₂=CHCl: - The first carbon (C1) has 2 hydrogen atoms (CH₂). - The second carbon (C2) has 1 hydrogen atom and 1 chlorine atom (CCl). Since C1 has more ...Read more
If `A+B+C=pi`, then `sin2A+sin2B-sin2C` is equal to
To solve the problem where A + B + C = π and we need to find the value of sin 2 A + sin 2 B − sin 2 C , we can follow these steps: ### Step 1: Use the ...Read more
Find the general solution of : `cosx+sinx=1`
To find the general solution of the equation \( \cos x + \sin x = 1 \), we can follow these steps: ### Step 1: Rewrite the equation We start with the ...
The correct IUPAC name of `CH_(2)=CHOH` is
CH-OH This indicates that we have a carbon-carbon double bond (C=C) and a hydroxyl group (-OH) attached to one of the carbons. ### Step 2: Count the Carbon ...
`sinx=1/4`, x in quadrant II. Find the values of other five ...
To find the values of the other five trigonometric functions given that \( \sin x = \frac{1}{4} \) and \( x \) is in the second quadrant, we will follow ...
The number of solutions of the equation `"sin" x = "cos" 3x ...
### Final Answer The number of solutions of the equation sin x = cos 3 x in the interval [ 0 , π ] is **6**.Read more
factorize : `81x^4-y^4`
Factorise 16x^(4)-81y^(4) . Watch solution. Factorize x^(4)-(y+2)^(4).Read more
Factorise : `4x^(4)+81`
Factorise : 4 x 4 + 81 · Text Solution · Topper's Solved these Questions. FACTORISATION. CALCUTTA BOOK HOUSE|Exercise EXAMPLES (MCQ)|7 Videos. View Playlist.Read more
Solve the following equations. `x/3 = 6`
Solve the following equations. x 3 = 6. To view this video, please enable JavaScript and consider upgrading to a web browser thatsupports HTML5 video.Read more
sin A + sin B + sin C = 4 cos ( A 2 ) cos ( B 2 ) cos ( C 2 )
If A+B+C=180^(@) then prove that the following sinA+sinB+sinC=4"cos"A/2"cos"B/2"cosC/2 · Statement -1: sin52^(@)+sin78^(@)+sin50^(@)=4cos26^(@)cos39^(@)cos25^(@) ...Read more
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