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Question

In ∆PQR, right angled at Q, PQ = 4 cm and RQ = 3 cm. Find the values of sin P, sin R, sec P and sec R.

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Solution

Given:

is right angled at vertex Q.

To find:

Given is as shown below

Hypotenuse side PR is unknown.

Therefore, we find side PR of by Pythagoras theorem

By applying Pythagoras theorem to

We get,

Hence, Hypotenuse = 5

Now by definition,

Substituting values of sides from the above figure

Now by definition,

Substituting values of sides from the above figure

By definition,

By definition,

Substituting values of sides from the above figure

Answer: , , and


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