Advertisements
Advertisements
Question
The value of sin (2 sin–1 (.6)) is ______.
Options
.48
.96
1.2
sin 1.2
Solution
The value of sin (2 sin–1 (.6)) is .96.
Explanation:
Let sin–1 (.6) = θ
i.e., sin θ = .6
Now sin (2θ) = 2
sinθ cosθ = 2 (.6) (.8)
= .96
APPEARS IN
RELATED QUESTIONS
The principal solution of the equation cot x=`-sqrt 3 ` is
Prove that `sin^(-1) (3/5) + cos^(-1) (12/13) = sin^(-1) (56/65)`
Find the value of `tan^(-1) sqrt3 - cot^(-1) (-sqrt3)`
Find the principal value of the following:
`sin^-1(cos (2pi)/3)`
Find the principal value of the following:
`sin^-1((sqrt3+1)/(2sqrt2))`
Find the principal value of the following:
`sin^-1(tan (5pi)/4)`
Find the principal value of the following:
`sec^-1(-sqrt2)`
For the principal value, evaluate the following:
`tan^-1sqrt3-sec^-1(-2)`
Find the principal value of the following:
`cosec^-1(2cos (2pi)/3)`
For the principal value, evaluate the following:
`sin^-1[cos{2\text(cosec)^-1(-2)}]`
Find the principal value of the following:
`cot^-1(tan (3pi)/4)`
Solve for x, if:
tan (cos-1x) = `2/sqrt5`
Find the value of `tan^-1 (tan (9pi)/8)`.
Find the value of `sin(2tan^-1 2/3) + cos(tan^-1 sqrt(3))`
The value of `sin^-1 [cos((33pi)/5)]` is ______.
The domain of the function defined by f(x) = `sin^-1 sqrt(x- 1)` is ______.
If `cos(sin^-1 2/5 + cos^-1x)` = 0, then x is equal to ______.
The value of `cos^-1 (cos (14pi)/3)` is ______.
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is ______.
The result `tan^1x - tan^-1y = tan^-1 ((x - y)/(1 + xy))` is true when value of xy is ______.
The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.
The principal value of `sin^-1 [cos(sin^-1 1/2)]` is `pi/3`.
If `5 sin theta = 3 "then", (sec theta + tan theta)/(sec theta - tan theta)` is equal to ____________.
The general solution of the equation `"cot" theta - "tan" theta = "sec" theta` is ____________ where `(n in I).`
`2 "cos"^-1 "x = sin"^-1 (2"x" sqrt(1 - "x"^2))` is true for ____________.
If sin `("sin"^-1 1/5 + "cos"^-1 "x") = 1,` then the value of x is ____________.
If `"tan"^-1 "x" + "tan"^-1"y + tan"^-1 "z" = pi/2, "x,y,x" > 0,` then the value of xy+yz+zx is ____________.
What is the principle value of `sin^-1 (1/sqrt(2))`?
What is the value of `tan^-1(1) cos^-1(- 1/2) + sin^-1(- 1/2)`
Evaluate `sin^-1 (sin (3π)/4) + cos^-1 (cos π) + tan^-1 (1)`.