Advertisements
Advertisements
Question
Find the principal value of `"cosec"^-1 (- sqrt(2))`
Solution
`"cosec"^-1 (- sqrt(2))` = θ
cosec θ = `- sqrt(2)`
= `- "cosec" (- pi/4)`
θ = `- pi/4`
APPEARS IN
RELATED QUESTIONS
Find the principal value of `sec^-1 (2/sqrt(3))`
Find the principal value of `cot^-1 (sqrt(3))`
Find the value of `tan^-1 (sqrt(3)) - sec^-1 (- 2)`
Find the value of `sin^-1 (- 1) + cos^-1 (1/2) + cot^-1 (2)`
Find the value of `cot^-1(1) + sin^-1 (- sqrt(3)/2) - sec^-1 (- sqrt(2))`
Choose the correct alternative:
The value of sin–1(cos x), 0 ≤ x ≤ π is
Choose the correct alternative:
If x = `1/5`, the value of `cos(cos^-1x + 2sin^-1x)` is
Choose the correct alternative:
If `sin^-1x + "cosec"^-1 5/4 = pi/2`, then the value of x is
Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation cos–1 (x) – 2sin–1(x) = cos–1 (2x) is equal to ______.
Given that the inverse trigonometric function take principal values only. Then, the number of real values of x which satisfy `sin^-1((3x)/5) + sin^-1((4x)/5) = sin^-1x` is equal to ______.
