TRIGONOMETRY - PART - 30 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 21

Given : q tan A = p, find the value of:

p sin A – q cos A /p sin A + q cos A

TRIGONOMETRY - PART - 29 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 20

In a triangle ABC, AD is perpendicular to BC, sin B = 0.8, BD = 9 cm and tan C = 1. Find the length of AB, AD, AC and DC.

TRIGONOMETRY - PART - 28 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 19

In triangle ABC, AB = AC = 15 cm and BC = 18 cm.

Find: (i) cos B (ii) sin C (iii) tan^2 B – sec^2 B + 2

TRIGONOMETRY - PART - 27 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 18

In rhombus ABCD, diagonals AC and BD intersect each other at point 0.

If cosine of angle CAB is 0.6 and OB = 8 cm, find the lengths of the side and diagonals of the rhombus.

TRIGONOMETRY - PART - 26 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 17

In triangle ABC, Angle B = 90 degrees and

tan A = 0.75.

If AC = 30 cm, find the lengths of AB and BC.

TRIGONOMETRY - PART - 25 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 16

If 3 cos A = 4 sin A, find the value of:

(i) cos A (ii) 3 – cot ^2 A + cosec ^2 A.

TRIGONOMETRY - PART - 24 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 15

In the given fig. angle C is 90 degrees and D is the mid-point of AC Find (i) tan angle CAB / tan angle CDB and (ii) (i) tan angle ABC / tan angle DBC

TRIGONOMETRY - PART - 23 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 14

Given 5 cos A – 12 sin A = 0;

evaluate

(sin A + cos A) / (2 cos A – sin A)

TRIGONOMETRY - PART - 22 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 13

Given; 17 cosꝊ = 15;

find the value of tanꝊ + 2 secꝊ

TRIGONOMETRY - PART - 21 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 12

Given: 4 sinꝊ = 3 cosꝊ; find the value of

(i) sinꝊ  (ii) cosꝊ (iii) cot^2 Ꝋ - cosec^2 Ꝋ

(iv) 4 cos^2 Ꝋ - 3 sin^2 Ꝋ + 2