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CBSE Class 10  >  Class 10 Notes  >   Maharashtra SSC Board All Subjects  >  Textbook Solutions: Trigonometry

Textbook Solutions: Trigonometry

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Trigonometry 
Practice Set 6.1 
Q. 1. If Sin?? = 
?? ????
, find the values of cos? and tan?. 
Answer : We know that, 
 
sin
2
? + cos
2
? = 1 
 
 
 
 
 
Also, 
 
 
Q. 2. If tan?? = 
?? ?? , find the values of sec? and cos?. 
Answer : We know that, 
 
sec
2
?= 1 + tan
2
? 
 
Page 2


Trigonometry 
Practice Set 6.1 
Q. 1. If Sin?? = 
?? ????
, find the values of cos? and tan?. 
Answer : We know that, 
 
sin
2
? + cos
2
? = 1 
 
 
 
 
 
Also, 
 
 
Q. 2. If tan?? = 
?? ?? , find the values of sec? and cos?. 
Answer : We know that, 
 
sec
2
?= 1 + tan
2
? 
 
 
 
 
 
Also, 
 
 
Q. 3. If cot?? = 
????
?? , find the values of cosec? and sin?. 
Answer : We know that, 
cosec
2
? = 1 + cot
2
? 
 
 
 
?      
Also, 
 
Page 3


Trigonometry 
Practice Set 6.1 
Q. 1. If Sin?? = 
?? ????
, find the values of cos? and tan?. 
Answer : We know that, 
 
sin
2
? + cos
2
? = 1 
 
 
 
 
 
Also, 
 
 
Q. 2. If tan?? = 
?? ?? , find the values of sec? and cos?. 
Answer : We know that, 
 
sec
2
?= 1 + tan
2
? 
 
 
 
 
 
Also, 
 
 
Q. 3. If cot?? = 
????
?? , find the values of cosec? and sin?. 
Answer : We know that, 
cosec
2
? = 1 + cot
2
? 
 
 
 
?      
Also, 
 
Q. 4. If 5sec?- 12cosec? = 0, find the values of sec?, cos? and sin?. 
Answer : 5sec? - 12cosec? = 0 
 
? 5sec? = 12cosec? 
 
 
 
As  we have, 
 
Also, We know that, 
sec
2
?= 1 + tan
2
? 
 
 
 
 
Also, 
 
Page 4


Trigonometry 
Practice Set 6.1 
Q. 1. If Sin?? = 
?? ????
, find the values of cos? and tan?. 
Answer : We know that, 
 
sin
2
? + cos
2
? = 1 
 
 
 
 
 
Also, 
 
 
Q. 2. If tan?? = 
?? ?? , find the values of sec? and cos?. 
Answer : We know that, 
 
sec
2
?= 1 + tan
2
? 
 
 
 
 
 
Also, 
 
 
Q. 3. If cot?? = 
????
?? , find the values of cosec? and sin?. 
Answer : We know that, 
cosec
2
? = 1 + cot
2
? 
 
 
 
?      
Also, 
 
Q. 4. If 5sec?- 12cosec? = 0, find the values of sec?, cos? and sin?. 
Answer : 5sec? - 12cosec? = 0 
 
? 5sec? = 12cosec? 
 
 
 
As  we have, 
 
Also, We know that, 
sec
2
?= 1 + tan
2
? 
 
 
 
 
Also, 
 
 
Now, again using 
 
 
 
 
Q. 5. If tan? = 1 then, find the values of  
Answer : Given, 
tan ? = 1 
? ? = 45° [as tan 45° = 1] 
Also, 
 
 
 
 
= sin? cos? 
Page 5


Trigonometry 
Practice Set 6.1 
Q. 1. If Sin?? = 
?? ????
, find the values of cos? and tan?. 
Answer : We know that, 
 
sin
2
? + cos
2
? = 1 
 
 
 
 
 
Also, 
 
 
Q. 2. If tan?? = 
?? ?? , find the values of sec? and cos?. 
Answer : We know that, 
 
sec
2
?= 1 + tan
2
? 
 
 
 
 
 
Also, 
 
 
Q. 3. If cot?? = 
????
?? , find the values of cosec? and sin?. 
Answer : We know that, 
cosec
2
? = 1 + cot
2
? 
 
 
 
?      
Also, 
 
Q. 4. If 5sec?- 12cosec? = 0, find the values of sec?, cos? and sin?. 
Answer : 5sec? - 12cosec? = 0 
 
? 5sec? = 12cosec? 
 
 
 
As  we have, 
 
Also, We know that, 
sec
2
?= 1 + tan
2
? 
 
 
 
 
Also, 
 
 
Now, again using 
 
 
 
 
Q. 5. If tan? = 1 then, find the values of  
Answer : Given, 
tan ? = 1 
? ? = 45° [as tan 45° = 1] 
Also, 
 
 
 
 
= sin? cos? 
= sin 45° cos 45° 
 
Q. 1. A. Prove that: 
 
 
Answer : Taking LHS 
 
 
 [As, sin
2
? + cos
2
? = 1] 
= sec ?  
= RHS 
Proved ! 
Q. 6. B. Prove that: 
 
 
Answer : Taking LHS 
cos
2
?(1 + tan
2
?) 
= cos
2
? sec
2
? [As, sec
2
? = 1 + tan
2
?] 
 
= 1
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Apr 22, 2026 Last updated
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Document Description: Textbook Solutions: Trigonometry for Class 10 2026 is part of Class 10 Maharashtra SSC Board All Subjects preparation. The notes and questions for Textbook Solutions: Trigonometry have been prepared according to the Class 10 exam syllabus. Information about Textbook Solutions: Trigonometry covers topics like and Textbook Solutions: Trigonometry Example, for Class 10 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Textbook Solutions: Trigonometry.
Introduction of Textbook Solutions: Trigonometry in English is available as part of our Class 10 Maharashtra SSC Board All Subjects for Class 10 & Textbook Solutions: Trigonometry in Hindi for Class 10 Maharashtra SSC Board All Subjects course. Download more important topics related with notes, lectures and mock test series for Class 10 Exam by signing up for free. Class 10: Textbook Solutions: Trigonometry
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Textbook Solutions: Trigonometry of Class 10 Maharashtra SSC Board All Subjects is the updated edition as per the latest syllabus of the 2026-27, PDF available for download.
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