Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 1851

Question Number 18747 Answers: 2 Comments: 0

Question Number 18746 Answers: 2 Comments: 0

Question Number 18744 Answers: 0 Comments: 1

Question Number 18742 Answers: 1 Comments: 0

The value of cot16°cot44° + cot44°cot76° − cot76°cot16° is

$The value of \cot 16 ° \cot 44 ° + \cot 44 ° \cot 76 °$ $- \cot 76 ° \cot 16 ° is$

Question Number 18731 Answers: 3 Comments: 0

tan ((2π)/5) − tan (π/(15)) − (√3) tan ((2π)/5) tan (π/(15)) =

$\tan \frac{2 π}{5} - \tan \frac{π}{15} - \sqrt{3} \tan \frac{2 π}{5} \tan \frac{π}{15} =$

Question Number 18730 Answers: 0 Comments: 3

If [((((2/3))^5 ))^(1/9) ]^(√(x−5)) =a^0 , find the value of x.

$If {[\sqrt[9]{{(\frac{2}{3})}^{5}}]}^{\sqrt{x - 5}} = a^{0}, find the value of x .$

Question Number 18723 Answers: 1 Comments: 0

Question Number 18722 Answers: 0 Comments: 0

Question Number 18715 Answers: 1 Comments: 0

∣x + 1∣

$∣ x + 1 ∣$

Question Number 18712 Answers: 0 Comments: 0

Question Number 18704 Answers: 1 Comments: 0

Question Number 18702 Answers: 1 Comments: 1

If a sin^2 x+b cos^2 x = c, b sin^2 y+a cos^2 y = d and a tan^2 x = b tan y then (a^2 /b^2 ) is equal to

$If a \sin^{2} x + b \cos^{2} x = c,$ $b \sin^{2} y + a \cos^{2} y = d and$ $a \tan^{2} x = b \tan y$ $then \frac{a^{2}}{b^{2}} is equal to$

Question Number 18701 Answers: 1 Comments: 1

The value of tan 6° tan 42° tan 66° tan 78° is

$The value of$ $\tan 6 ° \tan 42 ° \tan 66 ° \tan 78 ° is$

Question Number 18695 Answers: 1 Comments: 0

if ((n tanθ)/(cos^2 (α−θ)))=((m tan(α−θ))/(cos^2 θ)) then show that 2θ=α−tan^(−1) (((n−m)/(n+m))tanα)

$if \frac{n \tan θ}{\cos^{2} (α - θ)} = \frac{m \tan (α - θ)}{\cos^{2} θ}$ $then show that$ $2 θ = α - \tan^{- 1} (\frac{n - m}{n + m} \tan α)$

Question Number 18881 Answers: 0 Comments: 0

If (6 (√6) +14)^(2n+1) = m and if f is the fractional part of m, then f m is equal to

$If {(6 \sqrt{6} + 14)}^{2 n + 1} = m and if f is the$ $fractional part of m, then f m is equal to$

Question Number 18693 Answers: 1 Comments: 0

prove that 2tan^(−1) [tan(α/2)tan((π/4)−(β/2))] =tan^(−1) (((sinα cosβ)/(cosα +sinβ)))

$prove that {2 \tan}^{- 1} [\tan \frac{α}{2} \tan (\frac{π}{4} - \frac{β}{2})]$ $= \tan^{- 1} (\frac{\sin α \cos β}{\cos α + \sin β})$

Question Number 18967 Answers: 0 Comments: 3

Let PQRS be a rectangle such that PQ = a and QR = b. Suppose r_1 is the radius of the circle passing through P and Q and touching RS and r_2 is the radius of the circle passing through Q and R and touching PS. Show that : 5(a + b) ≤ 8(r_1 + r_2 )

$Let PQRS be a rectangle such that$ $PQ = a and QR = b . Suppose r_{1} is the$ $radius of the circle passing through P$ $and Q and touching RS and r_{2} is the$ $radius of the circle passing through Q$ $and R and touching PS . Show that :$ $5 (a + b) ⩽ 8 (r_{1} + r_{2})$

Question Number 18681 Answers: 1 Comments: 0

y = ∣sin x∣ + 2 y = ∣x∣ + 2 −π −π ≤ x ≤ π Find the area that have created from the equations above

$y = ∣ \sin x ∣ + 2$ $y = ∣ x ∣ + 2 - π$ $- π ⩽ x ⩽ π$ $Find the area that have created$ $from the equations above$

Question Number 18678 Answers: 2 Comments: 0

lim_(x→∞) ((4^(x + 1) + 2^(x +1) − 3^(x + 1) )/(4^(x − 1) + 2^(x − 1 ) + 3^(x + 1) ))

$\lim_{x \to \infty} \frac{4^{x + 1} + 2^{x + 1} - 3^{x + 1}}{4^{x - 1} + 2^{x - 1} + 3^{x + 1}}$

Question Number 18667 Answers: 2 Comments: 0

If x=2^(1/3) − 2^(−1/3) , find the value of 2x^3 +6x.

$If x = 2^{1 / 3} - 2^{- 1 / 3}, find the value of$ $2 x^{3} + 6 x .$

Question Number 18666 Answers: 1 Comments: 0

An elastic material has a length of 36cm when a load of 40N is hung on it and a length of 45cm when a load of 60N is hung on it. what is the Original length of the string ?

$An elastic material has a length of 36 cm when a load of 40 N is hung on it and$ $a length of 45 cm when a load of 60 N is hung on it . what is the Original$ $length of the string ?$

Question Number 18884 Answers: 1 Comments: 0

Determine the smallest positive integer x, whose last digit is 6 and if we erase this 6 and put it in left most of the number so obtained, the number becomes 4x.

$Determine the smallest positive integer$ $x, whose last digit is 6 and if we erase$ $this 6 and put it in left most of the$ $number so obtained, the number$ $becomes 4 x .$

Question Number 18663 Answers: 1 Comments: 2

Find the product of 101 × 10001 × 100000001 × ... × (1000...01) where the last factor has 2^7 − 1 zeros between the ones. Find the number of ones in the product.

$Find the product of 101 \times 10001 \times$ $100000001 \times . . . \times (1000 . . . 01) where the$ $last factor has 2^{7} - 1 zeros between the$ $ones . Find the number of ones in the$ $product .$

Question Number 18968 Answers: 1 Comments: 1

Find the side lengths of a triangle if side lengths are consecutive integers,and one of whose angles is twice as large as another.

$Find the side lengths of a triangle$ $if side lengths are consecutive$ $integers, and one of whose angles$ $is twice as large as another .$

Question Number 18655 Answers: 0 Comments: 3

Find the number of odd integers between 30,000 and 80,000 in which no digit is repeated.

$Find the number of odd integers$ $between 30, 000 and 80, 000 in which no$ $digit is repeated .$

Question Number 18653 Answers: 1 Comments: 0

Solve the inequality, ∣x − 1∣ + ∣x + 1∣ < 4

$Solve the inequality, ∣ x - 1 ∣ + ∣ x + 1 ∣ < 4$

Pg 1846 Pg 1847 Pg 1848 Pg 1849 Pg 1850 Pg 1851 Pg 1852 Pg 1853 Pg 1854 Pg 1855

Contact: info@tinkutara.com