RS Aggarwal solutions for Secondary School Class 10 Maths chapter 6 - T-Ratios of some particular angles [Latest edition]

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RS Aggarwal solutions for Secondary School Class 10 Maths chapter 6 - T-Ratios of some particular angles - Shaalaa.com
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Solutions for Chapter 6: T-Ratios of some particular angles

Below listed, you can find solutions for Chapter 6 of CBSE RS Aggarwal for Secondary School Class 10 Maths.


Exercises
Exercises

RS Aggarwal solutions for Secondary School Class 10 Maths Chapter 6 T-Ratios of some particular angles Exercises

Exercises | Q 1

Evaluate:
sin600 cos300 + cos600 sin300

Exercises | Q 2

Evaluate:
cos600 cos300− sin600 sin300

Exercises | Q 3

Evaluate:
cos450 cos300 + sin450 sin300

Exercises | Q 4

Evaluate:
`(sin30°)/(cos 45°)+(cot45°)/(sec60° )- (sin60°)/(tan45°)+(cos30°)/(sin90°)`

Exercises | Q 5

Evaluate:

`(5 cos^2 60^circ + 4 sec^2 30^circ - tan^2 45^circ)/(sin^2 30^circ + cos^2 30^circ)`

Exercises | Q 6

Evaluate:

`2cos^2 60^0+3 sin^2 45^0 - 3 sin^2 30^0 + 2 cos^2 90 ^0`

 

Exercises | Q 7

Evaluate:

`cot^2 30^0-2cos^2 30^0-3/4 sec^2 45^0 +1/4 cosec^2 30^0`

Exercises | Q 8

Evaluate:

`(sin^2 30^0 + 4 cot^2 45^0-sec^2 60^0)(cosec^2  45^0 sec^2 30^0)`

Exercises | Q 9

Evaluate:

`4/(cot^2 30^0) +1/(sin^2 30^0) -2 cos^2 45^0 - sin^2 0^0`

Exercises | Q 10.1

 Show that:

(i)` (1-sin 60^0)/(cos 60^0)=(tan60^0-1)/(tan60^0+1)`

Exercises | Q 10.2

Show that:
(ii) `(cos30^0+sin 60^0)/(1+sin30^0+cos60^0)=cos 30^0`

 

Exercises | Q 11.1

Verify each of the following:

(i)`sin 60^0 cos 30^0-cos 60^0 sin 30^0`

Exercises | Q 11.2

Verify each of the following:

(ii)`cos 60^0 cos 30^0+ sin 60^0 sin30^0`

Exercises | Q 11.3

Verify each of the following:

(iii) `2 sin 30^0 cos 30^0`

Exercises | Q 11.4

Verify each of the following:

(iv) `2 sin 45^0 cos 45^0` 

Exercises | Q 12.1

If A = 450, verify that :
(i) sin 2A = 2 sin A cos A

Exercises | Q 12.2

If A = 45, verify that:

(ii) cos 2A = 2 cos2 A – 1 = 1 – 2 sin2

Exercises | Q 13.1

If A = 30, verify that:

(i) sin 2A = `(2 tan A)/(1+tan^2A)`

Exercises | Q 13.2

If A = 30, verify that:

(ii) cos 2A = `(1- tan^2A)/(1+tan^2A)`

Exercises | Q 13.3

If A = 30, verify that:

(iii) tan 2A = `(2tanA)/(1-tan^2A)`

Exercises | Q 14.1

If A = 600 and B = 300, verify that: 
(i) sin (A + B) = sin A cos B + cos A sin B

Exercises | Q 14.2

If A = 600 and B = 300, verify that: 

cos (A + B) = cos A cos B - sin A sin B

Exercises | Q 15.1

If A = 600 and B = 300, verify that: 
(i) sin (A – B) = sin A cos B – cos A sin B

Exercises | Q 15.2

If A = 600 and B = 300, verify that: 

(ii) cos (A – B) = cos A cos B + sin A sin B

Exercises | Q 15.3

If A = 600 and B = 300, verify that: 

(iii) tan (A-B) = `(tan A-tanB)/(1+tan A tan B)`

Exercises | Q 16

If A and B are acute angles such that tan A =`1/3, tan B = 1/2  and tan (A + B) =` show that  `A+B = 45^0`

Exercises | Q 17

Using the formula, tan 2A =`(2 tan A )/(1- tan^2 A)` find the value of tan 600, it being given that tan 300 = `1/sqrt(3)`. 

Exercises | Q 18

Using the formula, cos A = `sqrt((1+cos2A)/2) ,`find the value of cos 300, it being given that cos 600  = `1/2`.

Exercises | Q 19

Using the formula, sin A = `sqrt((1-cos 2A)/2) ` find the value of sin 300, it being given that cos 600 = `1/2` 

Exercises | Q 20

In the adjoining figure, ΔABC is a right-angled triangle in which ∠B = 900, ∠300 and AC = 20cm. Find (i) BC, (ii) AB. 

Exercises | Q 21

In the adjoining figure, ΔABC is right-angled at B and ∠A = 300. If  BC = 6cm, find (i) AB, (ii) AC.

Exercises | Q 22

In the adjoining figure, ΔABC is right-angled at B and ∠A = 450. If AC = 3`sqrt(2)`cm, find (i) BC, (ii) AB. 

Exercises | Q 23

If sin (A + B) = 1 and cos (A – B) = 1, 0 ≤ (A + B) ≤ 900  and A > B, then find A and B.

Exercises | Q 24

If sin (A – B) = `1/2` and cos (A + B) = `1/2, 0^0 ≤ (A + B) ≤ 90^0` and A > B, then find A and B.

Exercises | Q 25

If tan (A + B) = `sqrt3` and tan (A – B) = `1/sqrt3` ; 0° < A + B ≤ 90° ; A > B, find A and B.

Exercises | Q 26

If 3x = cosecθ = and `3/x= cottheta` find the value of 3`(x^2-1/x^2)`.

Exercises | Q 27

If sin (A+B) = sin A cos B + cos A sin B and cos (A-B) = cos A cos B + sin A sin B
(i) sin (750)
(ii) cos (150

Solutions for Chapter 6: T-Ratios of some particular angles

Exercises
RS Aggarwal solutions for Secondary School Class 10 Maths chapter 6 - T-Ratios of some particular angles - Shaalaa.com

RS Aggarwal solutions for Secondary School Class 10 Maths chapter 6 - T-Ratios of some particular angles

Shaalaa.com has the CBSE Mathematics Secondary School Class 10 Maths CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. RS Aggarwal solutions for Mathematics Secondary School Class 10 Maths CBSE 6 (T-Ratios of some particular angles) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. RS Aggarwal textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Secondary School Class 10 Maths chapter 6 T-Ratios of some particular angles are Trigonometry, Trigonometric Ratios, Trigonometric Ratios of Some Special Angles, Trigonometric Ratios of Complementary Angles, Trigonometric Identities, Proof of Existence, Relationships Between the Ratios, Trigonometry, Trigonometric Ratios and Its Reciprocal, Trigonometry, Trigonometric Ratios, Trigonometric Ratios of Some Special Angles, Trigonometric Ratios of Complementary Angles, Trigonometric Identities, Proof of Existence, Relationships Between the Ratios, Trigonometry, Trigonometric Ratios and Its Reciprocal.

Using RS Aggarwal Secondary School Class 10 Maths solutions T-Ratios of some particular angles exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in RS Aggarwal Solutions are essential questions that can be asked in the final exam. Maximum CBSE Secondary School Class 10 Maths students prefer RS Aggarwal Textbook Solutions to score more in exams.

Get the free view of Chapter 6, T-Ratios of some particular angles Secondary School Class 10 Maths additional questions for Mathematics Secondary School Class 10 Maths CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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