Find the best tutors and institutes for Class 10 Tuition
Introduction to Trigonometry EXERCISE 8.2 Solutions
- Q1(i): Evaluate the following : (i) $\sin 60^\circ \cos 30^\circ + \sin 30^\circ \cos 60^\circ$
- Q1(ii): Evaluate the following : (ii) $2 \tan^2 45^\circ + \cos^2 30^\circ – \sin^2 60^\circ$
- Q1(iii): Evaluate the following : (iii) $\frac{\cos 45^\circ}{\sec 30^\circ + \text{cosec } 30^\circ}$
- Q1(iv): Evaluate the following : (iv) $\frac{\sin 30^\circ + \tan 45^\circ – \text{cosec } 60^\circ}{\sec 30^\circ + \cos 60^\circ + \cot 45^\circ}$
- Q1(v): Evaluate the following : (v) $\frac{5 \cos^2 60^\circ + 4 \sec^2 30^\circ - \tan^2 45^\circ}{\sin^2 30^\circ + \cos^2 30^\circ}$
- Q2(i): Choose the correct option and justify your choice : (i) $\frac{2 \tan 30^\circ}{1 + \tan^2 30^\circ} =$
- Q2(ii): Choose the correct option and justify your choice : (ii) $\frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ} =$
- Q2(iii): Choose the correct option and justify your choice : (iii) $\sin 2A = 2 \sin A$ is true when $A =$
- Q2(iv): Choose the correct option and justify your choice : (iv) $\frac{2 \tan 30^\circ}{1 - \tan^2 30^\circ} =$
- Q3: If $\tan (A + B) = \sqrt{3}$ and $\tan (A – B) = \frac{1}{\sqrt{3}}$; $0^\circ < A + B \le 90^\circ$; $A > B$, find $A$ and $B$.
- Q4(i): State whether the following are true or false. Justify your answer. (i) $\sin (A + B) = \sin A + \sin B$.
- Q4(ii): State whether the following are true or false. Justify your answer. (ii) The value of $\sin \theta$ increases as $\theta$ increases.
- Q4(iii): State whether the following are true or false. Justify your answer. (iii) The value of $\cos \theta$ increases as $\theta$ increases.
- Q4(iv): State whether the following are true or false. Justify your answer. (iv) $\sin \theta = \cos \theta$ for all values of $\theta$.
- Q4(v): State whether the following are true or false. Justify your answer. (v) $\cot A$ is not defined for $A = 0^\circ$.
Other Exercises for CBSE - Class 10 Mathematics Introduction to Trigonometry
Chapters in CBSE - Class 10 Mathematics
Top Tutors who teach Introduction to Trigonometry
I have been teaching for seven years. . I am teaching maths for cbse, icse,IB (international baccalaureate)' usa and uk (precalculus, AP calculus, algebra) acdamic students up to 12 grade and students preparing for SAT, OLYMPIAD, engineering and IIT ENTRANCE . Besides this I am also teaching Physics and Chemistry. I love teaching. I have excellent communication skills, a good understanding of concepts, ability to motivate students. Since every student has a different understanding level so for me its essential to know in what way students will understand and to explain them quickly. I also like to help in teaching someone who is financially weak to get an education. I can assure you to give 100% results. I will give you free demo classes and Pay me only when you will be completely satisfied with my teaching. I am btech from IIT Delhi Now I am full time in teaching
I teach Math and Science to 8th-12th standard students and have been teaching for more than 10 years. Batch of 2 Students: I conduct these small batches with a pair of students of the same class and same education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). This works for those students/parents who are looking for individual attention for their kids but still want it to be a little affordable. *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 4500/- per month/12 classes. Batch of 6 Students: I conduct these small batches with 5-6 students of the same class and same education board (I cover all popular boards CBSE, ICSE, IGCSE etc.). *4 classes per week (So 16 a month) *Maths and Science *Fee Rs. 4000/- per month/16 classes. I will start the classes immediately once the first kid enrolls. -------------------------------------------------------------------------------Individual/Private/One-to-One classes: I conduct these one to one classes for those students willing to have a one-to-one setup (I cover all popular boards CBSE, ICSE, IGCSE etc.). *3 classes per week (So 12 a month) *Maths and Science (Also English Grammar and Literature) *Fee Rs. 7000/- per month/12 classes. I will start the classes immediately once the first kid enrolls. -------------------------------------------------------------------------------I took classes and batches in different institutions.
The experience with virendra sir was amazing. He did away with all my doubts and difficulties at all times , he is more than a teacher and a mentor to me. I'll always remember sir's debate's , scolding and care for me. Ty sir for making me a greater individual.
Experienced Mathematics and Science Educator | 10+ Years in Teaching and Coaching I have over a decade of experience in teaching and coaching students in Mathematics and Science. I have worked as a PGT Mathematics teacher at GBL Convent School, and have also taught Classes 9 and 10 (Maths & Science) at R.S. Education Hub. My teaching approach focuses on building strong conceptual clarity, personalized attention, and result-oriented strategies to help students excel academically. I have successfully guided numerous students through school exams, board exams, and foundational competitive preparation.
I have excellent teaching experience of 7 years with best results with my previous student's from CBSE , STATE and ICSE BOARD'S . Preferably i focus on students personal interest, level of understanding and study methodology. I am here to give best of me to seek best out from my students. I have given seminar on 'Students changing Virtue towards study , Need if time??' . Passionate to guide students towards there destiny
I started my teaching career in 2005 in that year itself I got a chance to take class in 10 for one month for leave vacancy. After that I got the chance in 2011 in another school, then it continued. Taking class in 10 it was a challenge because responsibilities are more. Both parents and students are in stress, at the same time the school management also. If the results are not satisfactory it will affect to the reputation of the school. So the teachers are alert always .All the students have to face the board. So the preparation of each and every child is important. For that conducting special classes ,morning classes. Conducting evaluations in proper interval. After every evaluation a session with parents in school is very important. Because they are more stressed than students. The year tenth is important because it is the turning point of each student . The effort of all the pupils will be fruitful when we get the good result. Teachers especially those who are taking in class 10 they are not bothered about the salary which the management as paying to them, of course it is a pain to their personal life. Once if we are standing in front of the students our main attention was that whether the concept will be reaching to the pupil in the right meaning and sense. In that time we are not bothered about the payment. If the student got the concept and scored good in exam that was the great reward for teacher. After the schooling that student and parents never forget that teacher in their life every important movements they expect that teachers presence there.
Very fortunate to find such an excellent teacher on Urbanpro. Bindu Davi very dedicated and clears the concepts.
Find more Tutor for Introduction to Trigonometry in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Chennai Mathematics Tutors
- Gurgaon Mathematics Tutors
- Noida Mathematics Tutors
- Hyderabad Mathematics Tutors
- Mumbai Mathematics Tutors
- Chandigarh Mathematics Tutors
- Pune Mathematics Tutors
- Ghaziabad Mathematics Tutors
- Jaipur Mathematics Tutors
- Surat Mathematics Tutors
Download free CBSE - Class 10 Mathematics Introduction to Trigonometry EXERCISE 8.2 worksheets
Download Now