Trigonometry Important Questions

Trigonometry Important Questions

Find the value of (sin 30° + tan 45° - cosec 60°) / (sec 30° + cos 60° + cot 45°) and (5 cos² 60° + 4 sec² 30° - tan² 45°) / (sin² 30° + cos² 30°)

Question 1: Find the value of (sin 30° + tan 45° - cosec 60°) / (sec 30° + cos 60° + cot 45°) | Question 2: Find the value of (5 cos² 60° + 4 sec² 30° - tan² 45°) / (sin² 30° + cos² 30°)

2 Solved Problems
Find the value of (sin 30° + tan 45° - cosec 60°) / (sec 30° + cos 60° + cot 45°) and (5 cos² 60° + 4 sec² 30° - tan² 45°) / (sin² 30° + cos² 30°)
In △PQR, right angled at Q, PR + QR = 25cm and PQ = 5cm. Determine the values of sin P, cos P and tan P.

As shown in the figure of △PQR, let us first write down trigonometric ratios that is asked in the question and using these ratios, by replacing the values of the sides of triangle, we an find the values of sin P, cos P and tan P.

2 Bonus Questions
In △PQR, right angled at Q, PR + QR = 25cm and PQ = 5cm. Determine the values of sin P, cos P and tan P.
3 cot A = 4 | Check if (1−tan²A)/(1+tan²A) = cos²A - sin²A | Trigonometry Numerical

Question: If 3 cot A = 4, check whether (1−tan²A)/(1+tan²A) = cos²A - sin²A. Consider the following triangle ABC, where angle B = 90°

3 cot A = 4 | Check if (1−tan²A)/(1+tan²A) = cos²A - sin²A | Trigonometry Numerical
4 min read
15 cot A = 8 | Find the value of sin A and sec A | Trigonometry Numerical

Question: Given 15 cot A = 8, find sin A and sec A. In problems like these, make sure you know all the formulas mentioned in the notes

Includes bonus question
15 cot A = 8 | Find the value of sin A and sec A | Trigonometry Numerical
2 min read
PQ = 12cm and PR = 13cm | Find tan P - cot R | Trigonometry Numerical

Question: Given a right triangle PQR, where m∠Q = 90°, PQ = 12 cm and PR = 13 cm, find the value of tan P - cot R.

2 bonus tips
PQ = 12cm and PR = 13cm | Find tan P - cot R | Trigonometry Numerical
4 min read