if | cos^-1 x| <π/3 ,then the set of exhaustive values of x is
Answers
Answered by
3
Given : | cos⁻¹ x | < π/3
To Find : values of x
Solution:
Principle Range of cos⁻¹ is [0 , π]
Hence | cos⁻¹ x | = cos⁻¹ x
cos⁻¹ x < π/3
cos⁻¹ (1/2) = π/3
cos⁻¹ (√3 / 2) = π/6
cos⁻¹ 1 = 0
Hence x ∈ (1/2 , 1 ]
x ∈ (1/2 , 1 ]
Learn More:
Write the principal value of tan-¹(-1). - Brainly.in
brainly.in/question/17533155
Prove that tan inverse x +tan inverse y=tan inverse x+y by 1-xy
brainly.in/question/6632911
Attachments:
Similar questions