Question

Draw QR = 10 cm. Describe a semicircle on diameter QR.
Mark a point P on the semicircle so that ZPQR = 40°.
(1) What is the measure of ZQPR? Give reason.
(ii) Measure and record PQ and PR.
40°
10 cm
R
(11) Find the values of sin 40°, cos 40° and tan 40° with the measure of sides of APQR.​

Answer 1

Answer:

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Answer 2

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Tan θ = Opposite side/Adjacent side

• tan 10° = 0.176
• tan 30° = 0.57

tan (30 + 10) = (tan 30 + tan 10)/(1 – tan 30 tan 10)

• Substitute the approximate value

tan 40° = (0.57 + 0.176) /( 1-0.101)

tan 40° = 0.753/0.898

tan 40° = 0.839