Sin Cos Tan Ratios

Keep the angle the [b]same[/b]. Move the point C [u]to scale the entire size of the triangle[/u].[br][br]Which of the following in true?

The size of the sides changes and this makes the sin, cos and tangent ratios change. The size of the sides changes but the ratios are the same.

Suppose you keep the angles the same but double all the sides. [br][br]Why do the ratios not change?

Now change the angle by changing the slider at the top. [br][br]Which is true?

The values of the sin cos and tan ratios change. The values of the sin cos and tan ratios stay the same.

A student records, the ratio values for all of the angles from 36° to 45° in the below table.[br][br]Use this table to answer the questions below.

What is [math]sin\left(40^o\right)[/math] rounded to 3 significant figures.

What is [math]sin^{-1}\left(0.707\right)[/math]

42[sup]o[/sup] 43[sup]o[/sup] 44[sup]o[/sup] 45[sup]o[/sup]

There are two functions that are related in the above question, but different. They are:[br][br][math]f\left(x\right)=sin\left(x\right)[/math] and [math]f^{-1}\left(x\right)=sin^{-1}\left(x\right)[/math][br][br]How was finding the value of [math]sin^{-1}\left(x\right)[/math] different from [math]sin\left(x\right)[/math] in the table?

Sin Cos Tan Ratios

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