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Chapters
2: Polynomials
3: Linear Equations in two variables
4: Triangles
5: Trigonometric Ratios
▶ 6: T-Ratios of some particular angles
7: Trigonometric Ratios of Complementary Angles
8: Trigonometric Identities
9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
10: Quadratic Equations
11: Arithmetic Progression
12: Circles
13: Constructions
14: Height and Distance
15: Probability
16: Coordinate Geomentry
17: Perimeter and Areas of Plane Figures
18: Area of Circle, Sector and Segment
19: Volume and Surface Area of Solids
![RS Aggarwal solutions for Mathematics [English] Class 10 chapter 6 - T-Ratios of some particular angles - Shaalaa.com](/images/9789350271810-mathematics-english-class-10_6:362518cae02c41f896f78fdfb22bac39.jpg "RS Aggarwal solutions for Mathematics [English] Class 10 chapter 6 - T-Ratios of some particular angles")
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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 Mathematics [English] Class 10.
RS Aggarwal solutions for Mathematics [English] Class 10 6 T-Ratios of some particular angles Exercises
Evaluate:
sin600 cos300 + cos600 sin300
Evaluate:
cos600 cos300− sin600 sin300
Evaluate:
cos450 cos300 + sin450 sin300
Evaluate:
`(sin30°)/(cos 45°)+(cot45°)/(sec60° )- (sin60°)/(tan45°)+(cos30°)/(sin90°)`
Evaluate:
`(5 cos^2 60^circ + 4 sec^2 30^circ - tan^2 45^circ)/(sin^2 30^circ + cos^2 30^circ)`
Evaluate:
`2cos^2 60^0+3 sin^2 45^0 - 3 sin^2 30^0 + 2 cos^2 90 ^0`
Evaluate:
`cot^2 30^0-2cos^2 30^0-3/4 sec^2 45^0 +1/4 cosec^2 30^0`
Evaluate:
`(sin^2 30^0 + 4 cot^2 45^0-sec^2 60^0)(cosec^2 45^0 sec^2 30^0)`
Evaluate:
`4/(cot^2 30^0) +1/(sin^2 30^0) -2 cos^2 45^0 - sin^2 0^0`
Show that:
(i)` (1-sin 60^0)/(cos 60^0)=(tan60^0-1)/(tan60^0+1)`
Show that:
(ii) `(cos30^0+sin 60^0)/(1+sin30^0+cos60^0)=cos 30^0`
Verify each of the following:
(i)`sin 60^0 cos 30^0-cos 60^0 sin 30^0`
Verify each of the following:
(ii)`cos 60^0 cos 30^0+ sin 60^0 sin30^0`
Verify each of the following:
(iii) `2 sin 30^0 cos 30^0`
Verify each of the following:
(iv) `2 sin 45^0 cos 45^0`
If A = 450, verify that :
(i) sin 2A = 2 sin A cos A
If A = 450 , verify that:
(ii) cos 2A = 2 cos2 A – 1 = 1 – 2 sin2 A
If A = 300 , verify that:
(i) sin 2A = `(2 tan A)/(1+tan^2A)`
If A = 300 , verify that:
(ii) cos 2A = `(1- tan^2A)/(1+tan^2A)`
If A = 300 , verify that:
(iii) tan 2A = `(2tanA)/(1-tan^2A)`
If A = 600 and B = 300, verify that:
(i) sin (A + B) = sin A cos B + cos A sin B
If A = 600 and B = 300, verify that:
cos (A + B) = cos A cos B - sin A sin B
If A = 600 and B = 300, verify that:
(i) sin (A – B) = sin A cos B – cos A sin B
If A = 600 and B = 300, verify that:
(ii) cos (A – B) = cos A cos B + sin A sin B
If A = 600 and B = 300, verify that:
(iii) tan (A-B) = `(tan A-tanB)/(1+tan A tan B)`
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`
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)`.
Using the formula, cos A = `sqrt((1+cos2A)/2) ,`find the value of cos 300, it being given that cos 600 = `1/2`.
Using the formula, sin A = `sqrt((1-cos 2A)/2) ` find the value of sin 300, it being given that cos 600 = `1/2`
In the adjoining figure, ΔABC is a right-angled triangle in which ∠B = 900, ∠300 and AC = 20cm. Find (i) BC, (ii) AB.
In the adjoining figure, ΔABC is right-angled at B and ∠A = 300. If BC = 6cm, find (i) AB, (ii) AC.
In the adjoining figure, ΔABC is right-angled at B and ∠A = 450. If AC = 3`sqrt(2)`cm, find (i) BC, (ii) AB.
If sin (A + B) = 1 and cos (A – B) = 1, 00 ≤ (A + B) ≤ 900 and A > B, then find A and B.
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.
If tan (A + B) = `sqrt3` and tan (A – B) = `1/sqrt3`; 0° < A + B ≤ 90°; A > B, find A and B.
If 3x = cosecθ = and `3/x= cottheta` find the value of 3`(x^2-1/x^2)`.
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 6: T-Ratios of some particular angles
RS Aggarwal solutions for Mathematics [English] Class 10 chapter 6 - T-Ratios of some particular angles
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 10 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 Mathematics [English] Class 10 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.
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Concepts covered in Mathematics [English] Class 10 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.
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