Advertisements
Advertisements
प्रश्न
Find the value of `sin^-1(cos((33π)/5))`.
Advertisements
उत्तर
`sin^-1(cos((33π)/5))`
= `sin^-1 cos(6π + (3π)/5)`
= `sin^-1 cos((3π)/5)`
= `sin^-1 sin(π/2 - (3π)/5)`
= `π/2 - (3π)/5`
= `-π/10`.
APPEARS IN
संबंधित प्रश्न
Solve for x:
`2tan^(-1)(cosx)=tan^(-1)(2"cosec" x)`
`sin^-1(sin (17pi)/8)`
Evaluate the following:
`cot^-1{cot ((21pi)/4)}`
Write the following in the simplest form:
`sin^-1{(sqrt(1+x)+sqrt(1-x))/2},0<x<1`
Evaluate the following:
`sin(cos^-1 5/13)`
Solve: `cos(sin^-1x)=1/6`
Evaluate:
`cot(tan^-1a+cot^-1a)`
`sin^-1x=pi/6+cos^-1x`
Solve the following equation for x:
`tan^-1 2x+tan^-1 3x = npi+(3pi)/4`
Sum the following series:
`tan^-1 1/3+tan^-1 2/9+tan^-1 4/33+...+tan^-1 (2^(n-1))/(1+2^(2n-1))`
Solve the following:
`sin^-1x+sin^-1 2x=pi/3`
Prove that: `cos^-1 4/5+cos^-1 12/13=cos^-1 33/65`
Prove that
`tan^-1((1-x^2)/(2x))+cot^-1((1-x^2)/(2x))=pi/2`
Solve the following equation for x:
`tan^-1 1/4+2tan^-1 1/5+tan^-1 1/6+tan^-1 1/x=pi/4`
Write the value of `sin^-1((-sqrt3)/2)+cos^-1((-1)/2)`
Write the value of tan−1x + tan−1 `(1/x)`for x > 0.
Write the value of cos\[\left( 2 \sin^{- 1} \frac{1}{3} \right)\]
Write the value of cos2 \[\left( \frac{1}{2} \cos^{- 1} \frac{3}{5} \right)\]
What is the principal value of `sin^-1(-sqrt3/2)?`
Write the principal value of `tan^-1sqrt3+cot^-1sqrt3`
Write the value of \[\cos\left( \sin^{- 1} x + \cos^{- 1} x \right), \left| x \right| \leq 1\]
Write the value of \[\tan^{- 1} \left( \frac{1}{x} \right)\] for x < 0 in terms of `cot^-1x`
Write the value of `cot^-1(-x)` for all `x in R` in terms of `cot^-1(x)`
Find the value of \[2 \sec^{- 1} 2 + \sin^{- 1} \left( \frac{1}{2} \right)\]
If sin−1 x − cos−1 x = `pi/6` , then x =
If x < 0, y < 0 such that xy = 1, then tan−1 x + tan−1 y equals
\[\text{ If } u = \cot^{- 1} \sqrt{\tan \theta} - \tan^{- 1} \sqrt{\tan \theta}\text{ then }, \tan\left( \frac{\pi}{4} - \frac{u}{2} \right) =\]
The value of \[\cos^{- 1} \left( \cos\frac{5\pi}{3} \right) + \sin^{- 1} \left( \sin\frac{5\pi}{3} \right)\] is
If 4 cos−1 x + sin−1 x = π, then the value of x is
