TRIGONOMETRY - PART - 20 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 11

If tan A + cot A = 5

Find the value of tan^2 A + cot^2 A

TRIGONOMETRY - PART - 19 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 10

If sin A + cosec A = 2

Find the value of sin^2 A + cosec ^2 A

TRIGONOMETRY - PART - 18 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 09

In the given figure;

BC = 15 cm and sin B = 4/5.

(i) Calculate the measures of AB and AC.

(ii) Now, if tan and ADC = 1; calculate the measures of CD and AD.

(iii) Also, show that : tan2 B – 1/ cos2 B  = - 1

TRIGONOMETRY - PART - 17 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 08

Using the measurements given in the following figure. (i) Find the value of sin ɸ and tan Ꝋ.

(ii) Write the expression for AD in terms of Ꝋ.

TRIGONOMETRY - PART - 16 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 07

In the triangle ABC, Angle ABC = 90 degrees, Angle CAB = x degrees. tan x = 3 / 4 and BC = 15 cm. Find the measurement of AB and AC.

TRIGONOMETRY - PART - 15 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 06

In the given fig. given below, ABC is an isosceles triangle with BC = 8 cm and AB = AC = 5 cm. Find

(i) sin B (ii) tan C (iii) sin2 B + cos2 B (iv) tan c – cot B.

TRIGONOMETRY - PART - 14 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 05

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

TRIGONOMETRY - PART - 13 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9 – PAGE -294

EXERCISE – 22(B) – PROBLEM – 04

In the given fig., triangle ABC is right angled at B. D is the foot of the perpendicular from B to AC. Given that BC = 3 cm and AB = 4 cm. Find (i) tan DBC (ii) sin DBA

TRIGONOMETRY - PART - 12 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9

EXERCISE – 22(B) – PROBLEM - 03

In the diagram, given below, triangle ABC is right-angled at B and BD is perpendicular to AC find

(i) cos DBC  (ii) cot DBA

TRIGONOMETRY - PART - 11 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS

ICSE MATHS CLASS 9

EXERCISE – 22(B) – PROBLEM - 02

Use the given figure to find:

(i) six xﹾ  (ii) cos yﹾ

(iii) 3 tan xﹾ - 2 sin yﹾ + 4 cos yﹾ