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Q4 Module 1- Six Trigonometric Ratio
Contributed by: ABATAYO
  • 1. What is the reciprocal ratio of sine?
A) Secant
B) Cotangent
C) Cosecant
D) Cosine
  • 2. Which of the following represents the sine ratio in a right triangle?
A) opposite/hypotenuse
B) adjacent/opposite
C) opposite/adjacent
D) adjacent/hypotenuse
  • 3. In trigonometry, what is the inverse function of cosine?
A) cosecant
B) tangent
C) secant
D) cotangent
  • 4. Write the ratios for sin A and cos A from the given figure at the right.
A) sin A =3/4, cos A=4/5
B) sin A =4/5, cos A=3/5
C) sin A =3/5, cos A=4/3
D) sin A =3/5, cos A=4/5
  • 5. What is the value of tan 90°?
A) 1
B) 0
C) 1//2
D) undefined
  • 6. With respect to the given angle, what is the ratio of the hypotenuse to the adjacent side?
A) cosecant
B) sine
C) cosine
D) tangent
  • 7. In solving the right triangle ABC whose leg a = 15 unit and hypotenuse c = 27 unit, which of the following equations solve the length of the third side b?
A) 225=729+b2
B) b2=729+225
C) 27=15+b2
D) 729=225+b2
  • 8. Given the triangle below, which of the following statements is NOT true?
A) tan theta = 4/3
B) sin theta = 4/5
C) sec theta=5/3
D) csc theta=3/5
  • 9. If A = 30˚ and c = 23 units, what is the value of side a?
A) 23 cos 30
B) 23 sec 30
C) 23 csc 30
D) 23 sin 30
  • 10. If B = 60˚and b = 10, find side c.
A) 10/tan 60
B) 10/sin 60
C) 10 sin 60
D) 10/cos 60
  • 11. If a = 8 cm and c = 12 cm, determine the measure of ∠B
A) 10/tan 60
B) 10/cos 60
C) 10 sin 60
D) 10/sin 60
  • 12. ∠S = 30 and ∠T = 60, what is the measure of ∠R?
A) 55
B) 40
C) 65
D) 90
  • 13. Solve for ∠a
A) 45
B) 50
C) 55
D) 42
  • 14. Solve for b.
A) 4.76
B) 3.36
C) 5.22
D) 2.26
  • 15. Solve for c.
A) 6.22
B) 62.2
C) 33.6
D) 3.36
  • 16. What is the measure of angle A from the figure below?
A) 46.87
B) 36.87
C) 53.14
D) 63.14
  • 17. What is the mnemonic used with trigonometric ratios?
A) SHO CAH THA
B) SOH CAH TOA
C) SOA CAH TOA
D) SAH COA TOH
  • 18. In triangle QPR where m∠P = 90°, PR = 12cm and PQ = 5cm. What is the length of QR?
A) 7 cm
B) 13 cm
C) 17 cm
D) 11 cm
  • 19. In right triangle PQR right angled at Q, PQ=12cm and QR =5cm. What is cos R?
A) 5/12
B) 12/13
C) 5/13
D) 12/5
  • 20. In the figure given below, find the measure of side BC.
A) 10.91 units
B) 10.11 units
C) 19.99 units
D) 25.03 units
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