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NCERT Solutions for Exercise 8.3 Class 10 Maths Chapter 8 Introduction to Trigonometry are discussed here. These NCERT solutions are created by subject matter expert at Careers360 considering the latest syllabus and pattern of CBSE 2023-24. Class 10 maths ex 8.3 gives a brief overview of the trigonometric ratios of complementary angles and is explained in trigonometry. If the sum of two angles equals 90°, they are said to be complementary. According to the angle sum property, one angle in a right-angled triangle measures 90°, and the sum of the other two angles also measures 90°. This is the concept from which the formulas for this exercise are derived or the formula of complementary angle. The majority of these questions require proof. As a result, students must carefully study the theory in order to provide detailed answers to these sums.
10th class Maths exercise 8.3 answers are designed as per the students demand covering comprehensive, step by step solutions of every problem. Practice these questions and answers to command the concepts, boost confidence and in depth understanding of concepts. Students can find all exercise together using the link provided below.
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Introduction to Trigonometry class 10 chapter 8 Exercise: 8.3
Q1 Evaluate :
Answer:
We can write the above equation as;
By using the identity of
Therefore,
So, the answer is 1.
Q1 Evaluate :
Answer:
The above equation can be written as ;
.........(i)
It is known that,
Therefore, equation (i) becomes,
So, the answer is 1.
Q1 Evaluate :
Answer:
The above equation can be written as ;
....................(i)
It is known that
Therefore, equation (i) becomes,
So, the answer is 0.
Q1 Evaluate :
Answer:
This equation can be written as;
.................(i)
We know that
Therefore, equation (i) becomes;
= 0
So, the answer is 0.
Answer:
We have,
and we know that
therefore,
A = 90 - B
A + B = 90
Hence proved.
Q5 If , where is an acute angle, find the value of .
Answer:
We have,
, Here 4A is an acute angle
According to question,
We know that
Q6 If and are interior angles of a triangle , then show that
Answer:
Given that,
A, B and C are interior angles of
To prove -
Now,
In triangle ,
A + B + C =
Hence proved.
Q7 Express in terms of trigonometric ratios of angles between and .
Answer:
By using the identity of and
We know that,
and
the above equation can be written as;
NCERT solutions for Class 10 Maths exercise 8.3- We can find the value of these complementary angles but in the examination, we have very little time. So, we should try to remember these formulas NCERT solutions for Class 10 Maths chapter 8 exercise 8.3 as these can break a large complex trigonometric equation into simpler ones that can be called easily by the other associated terms present in the function.
The formulas are:
sin (90 - A) = cos A
cos (90 - A) = sin A
tan (90 - A) = cot A
cot (90 - A) = tan A
sec (90 - A) = cosec A
cosec (90 - A) = sec A
for all values of angle, A lying between 0° and 90°.
We should always be careful about
tan (0) = 0 = cot (90)
sec (0) = 1 cosec (90) and sec (90), cosec(0), tan(90) and cot (0) are not defined. Students can use these Introduction to Trigonometry Class 10 notes to quick revision of the important concepts discussed in this chapter.
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Dear aspirant !
Hope you are doing well ! The class 10 Hindi mp board sample paper can be found on the given link below . Set your time and give your best in the sample paper it will lead to great results ,many students are already doing so .
Hope you get it !
Thanking you
Hello aspirant,
The dates of the CBSE Class 10th and Class 12 exams are February 15–March 13, 2024 and February 15–April 2, 2024, respectively. You may obtain the CBSE exam date sheet 2024 PDF from the official CBSE website, cbse.gov.in.
To get the complete datesheet, you can visit our website by clicking on the link given below.
https://school.careers360.com/boards/cbse/cbse-date-sheet
Thank you
Hope this information helps you.
Hello aspirant,
The paper of class 7th is not issued by respective boards so I can not find it on the board's website. You should definitely try to search for it from the website of your school and can also take advise of your seniors for the same.
You don't need to worry. The class 7th paper will be simple and made by your own school teachers.
Thank you
Hope it helps you.
The eligibility age criteria for class 10th CBSE is 14 years of age. Since your son will be 15 years of age in 2024, he will be eligible to give the exam.
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