OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16

OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16. We Provide Step by Step Answer of Exe-16 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website CISCE  for detail information about ICSE Board Class-10.

OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16

---

-: Select Topics :-

Exercise-16(a)

Exercise-16(b)

Self Evaluation And Revision

---

Exercise-16

OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16

What is Trigonometry :

• Trigonometry from Greek trigon, “triangle” and matron, “measure”) is a branch of mathematics that studies relationships involving lengths and angles of triangles.
• The field emerged during the 3^rd century BC from applications of geometry to astronomical studies.
• Trigonometry is most simply associated with planar right angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees).
• The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle (on a flat plane) can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles

Trigonometrical Tables :

How to use the trigonometrical tables?

1. It is used to find the trigonometrical ratios of acute angles other than standard angles
2. It consists of three parts:

• A column on the extreme left contains degree from 0° to 89°
• Ten columns for 0^’, 6^’, 12^’, 18^’, 24^’, 30^’, 36^’, 42^’, 48^’ and 54^’
• Five columns for 1^’, 2^’, 3^’, 4^’ and 5^’

Trigonometric Ratios of Common angles :

^{We can find the values of trigonometric ratio’s various angle}

^{Important things :}

• From the table we can see that cosec 0 is undefined. It is undefined as cosec A= hyp /Perp, when angle becomes zero, Perpendicular becomes zero and x/0 is undefined
• Similarly for Cot 0
• From the table we can see that ,tan 90 is undefined . It is undefined as tan A=perp/base ,when angle becomes 90,base becomes zero and x/0 is undefined
• Similarly , it can be explained for sec 90

Trigonometric identities :

^{We have studied Pythagoras theorem in earlier classes which states that for a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two side
If a is the hypotenuse and b and c are other two sides, then
${\mathrm{a²}}^{}={\mathrm{b²}}^{}+{\mathrm{c²}}^{}$}

---

Exe-16(a),

OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16

Prove that :

Question 1 :

1 – cos…………………

Question 2:

1- sin ……………

Question 3

………………..

………………..

……………………

Question 10 :

(1 – sin ………….)

Question 11:

(1 – cos ………..)

Question 12:

………………….

………………..

…………………..

Question 29:

cot …………………

Question 30:

If tan ……………..

Question 31 :

If sin θ + cos θ  = a , sin θ  – cos θ  = b prove that ……….

---

Exe-16(b),

OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16

Question 1 :

Find the sine, cosine, and tangent of the following Data :

…………………

…………………..

Question 2:

Find the acute angle A, given ………..

………………..

………………..

Question 3:

……………………

…………………….

Question 16 :

The upper part ………………..  nearest metre.

Question 17:

In the figure …………………… calculate ………

………………

…………….

Question 18:

A, kite flying at a height of 75 meters from the level of ground ……………………… to the nearest metre.

---

Self Evaluation And Revision

 Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16

— : End of Trigonometrical Identities and Tables OP Malhotra S Chand Solutions :–

---

Return to :-   OP Malhotra S Chand Solutions for ICSE Class-10 Maths

Thanks

Please Share with Your Friends