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What is the value of θ for the acute angle in a right triangle?

 

sin(θ)=cos(58°)
please help :c

Guest Apr 18, 2017
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2+0 Answers

 #1
avatar+4155 
+3

Maybe I can put this picture to good use:

 

Now we can see that

θ + 58º = 90º

θ = 90º - 58º

θ = 32º

 

I don't really know what you mean by "for the acute angle in a right triangle," since both of the other angles in a right triangle are acute. But there are 2 angles that have the same sin as sin(32º) .

Those two angles are:

 

32º  (acute)      .....and.....      180º - 32º = 148º (obtuse)    smiley

hectictar  Apr 18, 2017
 #2
avatar+89779 
+1

You make a a great maths detective Hectictar :)

Melody  Apr 18, 2017

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