# Class 9 FRANK Solutions Maths Chapter 27 - Trigonometrical Ratios of Standard Angles

Complete your revision more effectively with Frank Solutions for ICSE Class 9 Mathematics Chapter 27 Trigonometrical ratios of standard angles. Check out the answers by experts to understand how they have provided proofs or presented an evaluation of trigonometric ratios given in the Frank textbook questions. The expert solutions on TopperLearning can be accessed 24x7 online.

In addition, the Frank solutions for Chapter 27 also provide elaborate answers on finding the angle or side of a triangle using trigonometry. To further revise this ICSE Class 9 Maths chapter or chapters from other syllabus, take a look at our Selina textbook solutions, doubts and solutions, solved question papers, and other useful resources.

## Trigonometrical Ratios of Standard Angles Exercise Ex. 27.1

### Solution 1

### Solution 2

### Solution 3(a)

### Solution 3(b)

### Solution 3(c)

### Solution 3(d)

### Solution 4(a)

### Solution 4(b)

### Solution 4(c)

### Solution 4(d)

### Solution 4(e)

### Solution 4(f)

### Solution 5(a)

### Solution 5(b)

### Solution 6

### Solution 7(a)

### Solution 7(b)

### Solution 7(c)

### Solution 8

### Solution 9

### Solution 10

### Solution 11

### Solution 12(a)

### Solution 12(b)

### Solution 12(c)

### Solution 12(d)

### Solution 12(e)

### Solution 13(a)

### Solution 13(b)

### Solution 14

### Solution 16(a)

### Solution 16(b)

### Solution 16(c)

### Solution 16(d)

### Solution 17(a)

### Solution 17(b)

### Solution 18

### Solution 19(a)

### Solution 15

### Solution 19(b)

### Solution 20(a)

### Solution 20(b)

### Solution 20(c)

### Solution 21

### Solution 22

### Solution 23

### Solution 24

### Solution 25

### Solution 26

### Solution 27

## Trigonometrical Ratios of Standard Angles Exercise Ex. 27.2

### Solution 14

### Solution 15

2

### Solution 16

### Solution 1(a)

### Solution 1(b)

### Solution 1(c)

### Solution 1(d)

### Solution 2

### Solution 3

### Solution 4

Construction: Draw DP ⊥ AB and CM ⊥ AB

### Solution 5

### Solution 6

### Solution 7

### Solution 8

### Solution 9(a)

### Solution 9(b)

### Solution 9(c)

### Solution 9(d)

### Solution 9(e)

** **

** **

### Solution 9(f)

### Solution 10(a)

Construction: Draw BX ⊥ AE

Then, BD = EX = 14 cm and BX = ED

AX = AE - EX = 16 - 14 = 2

### Solution 10(b)

### Solution 11

### Solution 12(a)

### Solution 12(b)

### Solution 13

### Solution 17

Consider the following figure,

### Solution 18

### Solution 19

Consider the following figure,

### Solution 20

### Solution 21

Draw QM ⊥ RS.

Clearly, ∠RQM = 30°

## Trigonometrical Ratios of Standard Angles Exercise Ex. 27.3

### Solution 1(a)

### Solution 1(b)

### Solution 1(c)

### Solution 1(d)

### Solution 1(e)

### Solution 1(f)

### Solution 2(a)

### Solution 2(b)

### Solution 2(c)

### Solution 2(d)

### Solution 2(e)

### Solution 2(f)

### Solution 3(a)

### Solution 3(b)

### Solution 3(c)

### Solution 3(d)

### Solution 4(a)

### Solution 4(b)

### Solution 4(c)

### Solution 4(d)

### Solution 4(e)

### Solution 4(f)

### Solution 5(a)

### Solution 5(b)

### Solution 5(c)

### Solution 5(d)

### Solution 5(e)

### Solution 5(f)

### Solution 5(g)

### Solution 5(h)

### Solution 5(i)

### Solution 5(j)

### Solution 6

### Solution 7

### Solution 8

### Solution 9

### Solution 10

### Solution 11

### Solution 12

### Solution 13

### Solution 14(a)

### Solution 14(b)

### Solution 14(c)

### Solution 14(d)

### Solution 15