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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