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RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3

February 14, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 is part of RBSE Solutions for Class 9 Maths. Here we have given Rajasthan Board RBSE Class 9 Maths Solutions Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 9
Subject Maths
Chapter Chapter 14
Chapter Name Trigonometric Ratios of Acute Angles
Exercise Exercise 14.3
Number of Questions Solved 14
Category RBSE Solutions

Rajasthan Board RBSE Class 9 Maths Solutions Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3

Question 1.
Prove (RBSESolutions.com) that cos θ tan θ = sin θ.
Solution.
L.H.S. = cos θ tan θ
= cos θ x  \(\frac { sin\theta }{ cos\theta }\)
= sin θ
= R.H.S.
Hence proved.

Question 2.
Prove that (1 – sin2θ) tan2θ = sin2θ.
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 1

RBSE Solutions

Question 3.
Prove (RBSESolutions.com) that \(\frac { { cos }^{ 2 }\theta }{ sin\theta } +sin\theta =cosec\theta\)
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 2

Question 4.
Prove that
(sin θ + cos θ)2 + (sin θ – cos θ)2 = 2.
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 q4

Question 5.
Prove that
cosec6θ – cot6θ = 1 + 3 cosec2θ cot2θ.
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 4

Question 6.
Prove that (RBSESolutions.com)
sin2θ cos θ + tan θ sin θ + cos3θ = sec θ.
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 5

Question 7.
Prove that \(\frac { cos\theta }{ 1-tan\theta } +\frac { sin\theta }{ 1-cot\theta } =sin\theta +cos\theta\)
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 6
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 7

RBSE Solutions

Question 8.
Prove (RBSESolutions.com) that
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 8
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 9

Question 9.
Prove that
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 10
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 11
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 12

Question 10.
Prove that
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 13
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 14

Question 11.
Prove that
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 15
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 16RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 16

Question 12.
Prove that
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 17
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 18

RBSE Solutions

Question 13.
Prove that
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 19
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 20
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 21

Question 14.
Prove that (1 + cot θ – cosec θ)(1 + tan θ + sec θ) = 2
Solution.
RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 - 22

We hope the given RBSE Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3 will help you. If you have any query regarding RBSE Rajasthan Board Solutions for Class 9 Maths Chapter 14 Trigonometric Ratios of Acute Angles Ex 14.3, drop a comment below and we will get back to you at the earliest.

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