Class 10 Algebra Test (20 Questions) Enter your details and answer all questions. Score will show instantly, and results will be emailed. Full Name Email 1) 2x + 5 = 15 x=5 x=10 x=15 2) 5x = 20 ⇒ x = ? 2 3 4 3) 3x – 7 = 11 x=6 x=5 x=4 4) 2x + 3 = 7…
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Example 2: If ∠B and ∠Q are acute angles such that sin B = sin Q, then prove that ∠B = ∠Q
To Prove: ∠B=∠Q\angle B = \angle Q Given: ∠B and ∠Q are acute angles sin B = sin Q Proof: Let us consider two right triangles: ΔABC, right-angled at C ΔPQR, right-angled at R Step 1: Write sine values in each triangle In ΔABC: sinB=ACAB⋯(1)\sin B = \frac{AC}{AB} \quad \cdots (1) In ΔPQR: sinQ=PRPQ⋯(2)\sin Q = \frac{PR}{PQ} \quad \cdots…
Example 1 : If tan A = 4/3, find other Trigonometric Ratios of angle A
This is a typical Class 10 CBSE trigonometry problem. If you’re given tan A = 4/3, the goal is to find the remaining five trigonometric ratios. Let’s solve this step by step using the triangle sides: perpendicular, base, and hypotenuse. Step-by-Step Solution: We are given: tan A = 4/3 That means: Perpendicular = 4 units Base = 3 units Now,…
15 FAQs on Best Online Tuition for Class 10 CBSE
1. What is the best online tuition for Class 10 CBSE? The best online tuition for Class 10 CBSE provides structured video lessons, interactive problem-solving sessions, mock tests, and doubt-clearing support. Platforms like Maths Vidya Institute, offering concept-based learning by experienced teachers like Aman Sir, are highly rated by students. 2. How can I choose the best online tuition for…
Why Sin A and Cos A are always less than 1 in Right Triangles – Class 10
Let’s break this down step by step so you fully understand why this is always true. 📌 What Is a Right Triangle? A right triangle is a triangle with one 90-degree angle. The side opposite this right angle is called the hypotenuse. The other two sides are called the perpendicular and the base — they are always shorter than the…
Why Trigonometric Ratios Never Change for the Same Angle | Class 10
The values of the trigonometric ratios of an angle do not vary with the lengths of the sides of the triangle, if the angle remains the same. 1) What does this statement mean? When we calculate sine, cosine, or tangent of an angle in a right-angled triangle, we use the sides of the triangle. For example, in a right…
If sin A = 1/2 , find all the Trigonometric Ratios – Class 10
In this blog, let’s understand how to find all six trigonometric ratios when sin A = 1/2 using Triangle and Identity method 1st Method : Triangle Method We are given: sin A = 1/2 By definition, sin A = Perpendicular / Hypotenuse So, we can assume: Perpendicular (P) = 1 Hypotenuse (H) = 2 We assume the simplest…
Trigonometric Ratios Are Not Products — And They Belong to Acute Angles : Class 10
Many students think expressions like sin A, cos A, etc., mean “sin × A” or “cos × A”. But this is completely incorrect. These are functions, not multiplications. ✅ These Ratios Do NOT Mean Multiplication Expression Wrong Assumption Correct Meaning sin A sin × A (incorrect) sine of angle A = Perpendicular / Hypotenuse cos A cos…
📚 Learn to Find All Trigonometric Ratios in 2 Minutes! Sin θ, Cos θ, Tan θ, Cosec θ, Sec θ, Cot θ | Class 10
Many students find this chapter confusing at first — but once you crack the Pandit Badri Prasad Trick, trust me, it becomes one of the easiest scoring topics. ✅ The 3 Sides of a Right-Angle Triangle Before jumping into ratios, know the 3 sides: 1️⃣ Perpendicular (Opposite Side) — side opposite to the given angle (except the…
How to Identify Hypotenuse, Base, and Perpendicular in a Right Triangle – Class 10 Trigonometry
Understanding the parts of a right-angled triangle—hypotenuse, base, and perpendicular—is key to mastering Class 10 Trigonometry. These three sides form the foundation for calculating ratios like sine, cosine, and tangent, and are critical in real-life applications such as construction, architecture, and physics. What is a Right-Angled Triangle? A right-angled triangle is a triangle where one angle is exactly 90°. The…