Question

Triangle GHJ is a right triangle. Angle G has a measure of g°, and angle H has a measure of h°, and angle J is a right angle.

Part A Select TWO equations that are true.

A. sin(h°)=sin(g°)

B. cos(g°)= sin(h°)

C. cos(h°)= cos(g°)

D. sin(h°)+ cos(h°)= sin(g°)+ cos(g°)

E. sin(g°)+ cos(h°)= cos(g°)+ sin(h°)


Part B Given that tan(g°)= sin(g°)/cos(g°), which ratio must have a value equal to the tangent of g°?

A. cos(h°)/sin(g°)

B. cos(h°)/sin(h°)

C. sin(h°)/cos(h°)

D. sin(h°)/cos(g°)

Answer 1

Part A: equations B and D are true

Part B: expression B is equal to tan(g)

Explanation:

In the given triangle, sin(g) = cos(h) and cos(g) = sin(h).

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Part A

Based on the above, selection B is true.

Based on the above, the equation of D becomes: sin(h)+sin(g) = sin(g) +sin(h), which is true.

Selections B and D are true

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Part B

Based on the above tan(g) can also be written ...

tan(g) = cos(h)/sin(h) . . . . . corresponds to selection B