the trigonometric equation sin-1x=2 sin-1alpha has solution for the 1 |alpha| =1/root2 2 |alpha| - Maths - Inverse Trigonometric Functions

Question

the trigonometric equation sin-1x=2
sin-1alpha has solution for the
1 |alpha|<=1/root2 2 |alpha|<=1/4
3 |alpha|<1/2 4 |alpha|<=1

Ghanshyam Dhakar · Accepted Answer

Dear
student,
sin-1x=2sin-1αwe know -π2≤sin-1x≤π2then -π2≤2sin-1α ≤π2-π4≤sin-1α ≤π4-12≤α ≤12 answer 1
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the trigonometric equation sin-1x=2 sin-1alpha has solution for the 1.|alpha|<=1/root2 2.|alpha|<=1/4 3.|alpha|<1/2 4.|alpha|<=1

the trigonometric equation sin^-1x=2 sin^-1alpha has solution for the
1.|alpha|<=1/root2 2.|alpha|<=1/4
3.|alpha|<1/2 4.|alpha|<=1