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Geometry Level 2

The domain of the inverse trigonometric function sin ⁡ − 1 \sin^{-1} is [ − a , b ] . [ -a, b ]. What is the value of a + b ? a + b?


The answer is 2.

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Arron Kau by Arron Kau

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1 solution

We all know, sin ⁡ \sin function ranges between − 1 -1 and 1 1 .

So, the domain of the inverse function sin ⁡ − 1 \sin^{-1} is [ − 1 , 1 ] [-1,1] .

1 + 1 = 2 1+1=2

What is easier than this?

3 Helpful 0 Interesting 0 Brilliant 1 Confused

true story.....

Vighnesh Raut - 7 years, 2 months ago

i think it should be mentioned that a and b are positive integers. Otherwise if a = -1 and b = -1, the range would again be [-a,b] i.e [1,-1] (which is true) and a+b would equal -2.

INFO WEB - 8 months, 2 weeks ago

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