RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7

RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7.

Other Exercises

Question 1.
Solution:
(i)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 1

(ii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 2

(iii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 3

(iv)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 4

(v)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 5

(vi)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 6

Question 2.
Solution:
(i)  LHS = cos81° – sin9°
= cos(90° -9°)- sin9° = sin9° – sin9°
= 0 = RHS

(ii) LHS = tan71° – cot19°
=tan(90° – 19°) – cot19° =cot19° – cot19°
=0 = RHS

(iii) LHS = cosec80° – sec10°
= cosec(90° – 10°) – sec(10°)
= sec10° – sec10° = 0
= RHS

(iv) LHS = cosec72° − tan18°
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 7

(v) LHS = cos75° + cos15°
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 8

(vi) LHS = tan66° − cot24°
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 9

(vii) LHS = sin48° + sin42°
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 10

(viii) LHS = cos57° − sin33°
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 11

(ix) LHS = (sin 65° + cos 25°)(sin 65° − cos 25°)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 12

Question 3.
Solution:
(i)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 13

(ii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 14

(iii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 15

(iv)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 16

(v)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 17

(vi)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 18

Question 4.
Solution:
(i)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 19

(ii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 20

(iii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 21

(iv)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 22

(v)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 23

Question 5.
Solution:
(i)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 24

(ii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 25

(iii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 26

(iv)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 27

(v)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 28

(vi)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 29

(vii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 30

Question 6.
Solution:
(i)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 31

(ii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 32

(iii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 33

(iv)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 34

(v)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 35

Question 7.
Solution:
(i)  LHS = sin (70° + θ) − cos (20° − θ)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 36

(ii)  LHS = tan (55° − θ) − cot (35° + θ)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 37

(iii)  LHS = cosec (67° + θ) − sec (23° − θ)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 38

(iv)  LHS = cosec (65 °+ θ)  sec  (25° −  θ) − tan (55° − θ) + cot (35° + θ)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 39

(v)  LHS = sin (50° + θ ) − cos (40° − θ) + tan 1° tan 10° tan 80° tan 89°
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 40

Question 8.
Solution:
(i)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 41

(ii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 42

(iii)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 43

(iv)
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 44

Question 9.
Solution:
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 45

Question 10.
Solution:
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 46

Question 11.
Solution:
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 47

Question 12.
Solution:
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 48

Question 13.
Solution:
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 49

Question 14.
Solution:
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 50

Question 15.
Solution:
RS Aggarwal Solutions Class 10 Chapter 7 Trigonometric Ratios of Complementary Angles Ex 7 51

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