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Raavi Tiwari
@raavi-tiwari
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Joined: May 7, 2021
Last seen: Jun 14, 2021
Topics: 0 / Replies: 2064
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Answer to: Evaluate the following: (i) sin 60° cos 30° + sin 30° cos 60° (ii) 2 tan^2 45° + cos^2 30° – sin^2 60

(i) sin 60° cos 30° + sin 30° cos 60° First, find the values of the given trigonometric ratios sin 30° = 1/2 cos 30° = √3/2 sin 60° = 3/2 co...

5 years ago
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Answer to: State whether the following are true or false. Justify your answer. (i) The value of tan A is always less than 1. (ii) sec A = 12/5 for some value of angle A.

(i) The value of tan A is always less than 1. False Proof: In ΔMNC in which ∠N = 90∘, MN = 3, NC = 4 and MC = 5 Value of tan M = 4/3 which is ...

5 years ago
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Answer to: In ∆ PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P

In a given triangle PQR, right angled at Q, the following measures are PQ = 5 cm PR + QR = 25 cm Now let us assume, QR = x PR = 25 - QR PR =...

5 years ago
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Answer to: In triangle ABC, right-angled at B, if tan A = 1/√3 find the value of: (i) sin A cos C + cos A sin C (ii) cos A cos C – sin A sin C

Let ΔABC in which ∠B = 90° tan A = BC/AB = 1/√3 Let BC = 1k and AB = √3k, Where k is the positive real number of the problem By Pythagoras the...

5 years ago
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Answer to: If 3 cot A = 4, check whether (1-tan^2 A)/(1+tan^2 A) = cos^2 A – sin^2 A or not.

Let △ABC in which ∠B = 90° cot(A) = AB/BC = 4/3 Let AB = 4k an BC = 3k, where k is a positive real number. According to the Pythagorean theorem,...

5 years ago
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Answer to: If cot θ = 7/8, evaluate : (i) (1 + sin θ)(1 – sin θ)/(1+cos θ)(1-cos θ) (ii) cot^2 θ

Let us assume a △ABC in which ∠B = 90° and ∠C = θ cot θ = BC/AB = 7/8 Let BC = 7k and AB = 8k, where k is a positive real number According to Py...

5 years ago
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Answer to: If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠ A = ∠B.

Let us assume the triangle ABC in which CD⊥AB Cos (A) = cos (B) As per the angles taken, the cos ratio is written as AD/AC = BD/BC Now, interc...

5 years ago
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Answer to: Given sec θ = 13/12, Calculate all other trigonometric ratios.

Let us assume a right angled triangle ABC, right angled at B sec θ =13/12 = Hypotenuse/Adjacent side = AC/AB Let AC be 13k and AB will be 12k Wh...

5 years ago
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Answer to: Given 15 cot A = 8, find sin A and sec A.

Let us assume a right angled triangle ABC, right angled at B Given: 15 cot A = 8 Cot A = 8/15 cot A = Adjacent side/Opposite side = AB/BC = 8...

5 years ago
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Answer to: If sin A = 3/4, Calculate cos A and tan A.

Let us assume a right angled triangle ABC, right angled at B Given: Sin A = 3/4 Therefore, Sin A = Opposite side /Hypotenuse= 3/4 Let BC be 3k a...

5 years ago
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Answer to: In Figure, find tan P – cot R

Given triangle PQR, PR = 13cm PQ = 12cm According to Pythagorean theorem, In a right- angled triangle, the squares of the hypotenuse side is e...

5 years ago
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Answer to: This poster highlights the need for ‘Peace’. It says, “Peace is a never-ending process….. It cannot ignore our differences or overlook our common interests.”

Peace is a never-ending process. It is the need of today. Peace respects our common interest and removes or minimize our difference. Peace helps us ...

5 years ago
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Answer to: The Indian State both keeps away from religion as well as intervenes in religion. This idea can be quite confusing.

India is a land of complex ideas. It is difficult to understand what it really wants. There are many ideals in the Constitution but practices are quit...

5 years ago
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Answer to: Find out some examples of different views within the same religion.

Different views are followed even within the same religion. As for example, only in the Hindu religion, we have hundreds of deities worshipped by diff...

5 years ago
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