MATHEMATICS QUIZ: TRIGONOMETRY

If sin θ = - 1/2 for 0 < θ < 360⁰, the value of θ is

• 30⁰ and 150⁰

• 150⁰ and 210⁰

• 210⁰ and 330⁰

• 150⁰ and 330⁰

Find the value of tan60⁰ - tan30⁰/tan60⁰ + tan30⁰

• 4/√3
• 2/√3
• 1
• 1 2

If tanθ = 3/4, find the value of sinθ + cosθ

• 1 ^2/5

• 1 ^1/3

• 1 ^2/3

• 1 ^3/5

In triangle PQR, q = 8 cm, r = 6 cm and cos P = 1/12. Calculate the value of p.

• 10 cm
• √108  cm
• 9 cm
• √92  cm

If angle θ is 135o, evaluate cosθ.

• 1 2
• √2 /5
• - √2 /2
• =-1/2

Find the value of sin 45⁰ – cos 30⁰.

• (2 + √6 )/4
• (√2  + √3 )/4
• (√2  + √3 )/2
• (√2  - √3 )/2

In triangle XYZ, < XYZ = 15⁰, < XZY = 45⁰ and |XY| = 7cm. Find |YZ|.

• 14√ 2 cm
• 7/2√ 6 cm
• 7√ 2 cm
• 7cm

If tanθ = 5/4, find sin2θ - cos2θ.

• 5 4
• 41/9
• 9 41
• 1

If sinθ = 12/13, find the value of 1 + cosθ.

• 8 /13

• 5 / 13

• 25/13
• 18/13

In diagram above, QR//TU, PQR = 80⁰ and PSU = 95⁰. Calculate < SUT.

• 15⁰

• 25⁰

• 30⁰

• 80⁰