Why must the value of the sine ratio for an acute angle
1 answer:
Answer:
Because of the range of the sine function.
Step-by-step explanation:
The reason why the value of the sine ratio for an acute angle
of a right triangle must always be a positive value less
than 1 has to do with the the range of the sine function.
The range of the sine function is
But in the first quadrant all y-values are positive and acute angles are less than 90°.
Therefore the range will now be 0≤y<1 for acute angles.
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Answer:
(a) Verified
(b) They are simultaneous equations
Step-by-step explanation:
Given
Required
Verify that: is a solution
We have:
Substitute:
Evaluate all products
Subtract:
<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
Also:
Substitute:
Evaluate all products
Subtract:
<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
<em></em>
Because the given point is a solution to both equations, then they are simultaneous equation