Advertisements
Advertisements
प्रश्न
The value of cosec `[sin^-1((-1)/2)] - sec[cos^-1((-1)/2)]` is equal to ______.
पर्याय
–4
0
–1
4
उत्तर
The value of cosec `[sin^-1((-1)/2)] - sec[cos^-1((-1)/2)]` is equal to 0.
Explanation:
`"cosec" [sin^-1(-1/2)] - sec [cos^-1((-1)/2)]`
= `"cosec" [-sin^-1(1/2)] - sec [π - cos^-1((-1)/2)]`
= `"cosec" [- π/6] - sec [π - π/3]`
= `-"cosec" [π/6] - sec [(2π)/3]`
= – cosec 30° – sec 120°
= – cosec 30° – sec [(90° + 30°)]
= – 2 – [– cosec 30°]
= – 2 + cosec 30°
= – 2 + 2
= 0
APPEARS IN
संबंधित प्रश्न
Solve for x : tan-1 (x - 1) + tan-1x + tan-1 (x + 1) = tan-1 3x
If `tan^-1(2x)+tan^-1(3x)=pi/4`, then find the value of ‘x’.
Write the following function in the simplest form:
`tan^(-1) (sqrt(1+x^2) -1)/x, x != 0`
if `tan^(-1) (x-1)/(x - 2) + tan^(-1) (x + 1)/(x + 2) = pi/4` then find the value of x.
Find the value of the given expression.
`tan^(-1) (tan (3pi)/4)`
Prove that:
`tan^(-1) sqrtx = 1/2 cos^(-1) ((1-x)/(1+x)) , x in [0, 1]`
sin–1 (1 – x) – 2 sin–1 x = `pi/2` , then x is equal to ______.
Solve for x : \[\cos \left( \tan^{- 1} x \right) = \sin \left( \cot^{- 1} \frac{3}{4} \right)\] .
Find the value of the expression in terms of x, with the help of a reference triangle
sin (cos–1(1 – x))
Prove that `sin^-1 3/5 - cos^-1 12/13 = sin^-1 16/65`
If tan–1x + tan–1y + tan–1z = π, show that x + y + z = xyz
Prove that `tan^-1x + tan^-1 (2x)/(1 - x^2) = tan^-1 (3x - x^3)/(1 - 3x^2), |x| < 1/sqrt(3)`
Solve: `2tan^-1 (cos x) = tan^-1 (2"cosec" x)`
Choose the correct alternative:
`sin^-1 3/5 - cos^-1 13/13 + sec^-1 5/3 - "cosec"^-1 13/12` is equal to
Evaluate tan (tan–1(– 4)).
Evaluate `cos[sin^-1 1/4 + sec^-1 4/3]`
The maximum value of sinx + cosx is ____________.
If `"sec" theta = "x" + 1/(4 "x"), "x" in "R, x" ne 0,`then the value of `"sec" theta + "tan" theta` is ____________.
If `"cot"^-1 (sqrt"cos" alpha) - "tan"^-1 (sqrt"cos" alpha) = "x",` the sinx is equal to ____________.
The value of cot `("cosec"^-1 5/3 + "tan"^-1 2/3)` is ____________.
The value of sin (2tan-1 (0.75)) is equal to ____________.
The value of the expression tan `(1/2 "cos"^-1 2/sqrt3)`
Solve for x : `"sin"^-1 2"x" + "sin"^-1 3"x" = pi/3`
The value of `"cos"^-1 ("cos" ((33pi)/5))` is ____________.
`"sin"^-1 (1/sqrt2)`
`"sin"^-1 ((-1)/2)`
The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. “A” is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely C, D and E. “C” is at the height of 10 metres from the ground level. For viewer A, the angle of elevation of “D” is double the angle of elevation of “C” The angle of elevation of “E” is triple the angle of elevation of “C” for the same viewer. Look at the figure given and based on the above information answer the following:
Measure of ∠EAB = ________.
Find the value of `sin^-1 [sin((13π)/7)]`
