CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E

Read and download free pdf of CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 8 Trigonometry Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

Chapter 8 Trigonometry Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

Class 10 Mathematics Chapter 8 Trigonometry Worksheet Pdf

 

 Trignometry 

Q.- Prove the following identities : 
(i) cos4 A – cos2 A = sin4 A – sin2 A 
(ii) cot4 A – 1 = cosec4 A – 2cosec2 A 
(iii) sin6 A + cos6 A = 1 – 3sin2 A cos2 A. 
 
Sol.
(i) We have, 
LHS = cos4A – cos2A = cos2A (cos2A – 1) 
= – cos2 A (1 – cos2 A) = – cos2A sin2
= –(1 – sin2 A) sin2 A = – sin2 A + sin4
= sin4 A – sin2 A = RHS
 
(ii) We have,
LHS = cot4A – 1 = (cosec2A – 1)2 – 1
[cot2A=cosec2A–1  ∴cot4A=(cosec2A–1)2]
= cosec4A – 2 cosec2A + 1 – 1
= cosec4A – 2 cosec2A = RHS
 
(iii) We have,
LHS = sin6A + cos6A = (sin2 A)3 + (cos2 A)3
= (sin2 A + cos2 A) {(sin2 A)2 + (cos2 A)– sin2 A cos2 A)}
[a3 + b3 = (a + b) (a2 – ab + b2)]
={(sin2 A)2 + (cos2 A)2 + 2 sin2 A cos2 A – sin2 A cos2 A}
= [(sin2 A + cos2 A)2 – 3 sin2 A cos2 A]
= 1– 3 sin2 A cos2 A = RHS
 
Q.-  If acosθ + bsinθ = m and asinθ – bcosθ = n, prove that a2 + b2 = m2 + n2.
 
Sol. We have,
RHS = m2 + n2
= (acosθ + bsinθ)2 + (asinθ – bcosθ)2
= (a2cos2θ + b2sin2θ + 2ab cosθ sinθ) + (a2 sin2θ + b2cos2θ – 2ab sinθ cosθ)
= a2(cos2θ + sin2θ) + b2(sin2θ + cos2θ)
= a2 + b2 = LHS.
 
Q.- If sinθ + sin2θ = 1, prove that cos2θ + cos4θ = 1.
 
Sol. We have,
sinθ + sin2θ = 1
=> sinθ = 1 – sin2θ
=>  sinθ = cos2θ
Now, cos2θ+ cos4θ = cos2θ + (cos2θ)2
= cos2θ + sin2θ = 1

 

CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E 1

CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E 2

CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E 3

 

Please click on below link to download CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E

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CBSE Class 10 Mathematics Chapter 8 Trigonometry Worksheet

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Chapter 8 Trigonometry worksheet Mathematics CBSE Class 10

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Chapter 8 Trigonometry CBSE Class 10 Mathematics Worksheet

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