Team Gmath These are some of the basic trigonometric formulas that you will come across in class 10. They are fundamental for solving trigonometry problems and understanding the relationships between trigonometric functions.(Trigonometric formulae for class 10) Formulae for Trigonometric Ratio Perpendicular = P Base = B Hypotenuse = H (i) (ii) … Read more
Question: If , with , then prove that . Hence show that . …….. [CBSC 2016] Solution: Given, Differentiating with respect to y on both sides, we get Differentiating both sides w.r.t. x, we get Some other question: Q 1: If , Prove that . ……..[CBSC 2020] Solution: For solution click here … Read more
Question: Find the value of at , if and . …….. [CBSC 2008, 2014] Solution: Given, and Taking, Differentiating with respect to θ, we get Again taking, Differentiating with respect to θ, we get Some other question: Q 1: If , Prove that . ……..[CBSC 2020] Solution : For solution … Read more
Question: If , Prove that . ……..[CBSC 2020] Solution: Given, Differentiating with respect to x, we have, Some other question: Q 1: If , then prove that Q 2: Find the value of at , if and . …….. [CBSC 2008, 2014]
Question: If , then prove that Solution: Given, Taking logrithm both sides, we get log Differentiating both sides with respect to y, we get Some other question Q 1 :If tan inverse y/x = log root x^2 + y^2, then prove that Q 2: Find the value of at , if and . … Read more
Class 10 Case study Chapter 8 introduction to Trigonometry Case Study:1 An electrician wanted to repair a street lamp at a height of 15 feet. He places his ladder such that its foot is 8 feet from the foot of the lamp post as shown in the figure below: (A) Find the value of ‘cos … Read more
Class 10 Case study of Chapter 7 coordinate geometry Case study:1 To conduct Annual day activities, in a rectangular shaped school ground PQRS, lines have been drawn with chalk powder at a distance of 1 m each. 10 banners have been placed at a distance of 10 m from each other along PS. The first … Read more
Question: If α and β are the zeros of the quadratic polynomial f(x) = ax² + bx + c, then evaluate: (i) (ii) (iii) (iv) (v) (vi) Solution: Since α and β are the zeros of the quadratic polynomial f(x) = ax² + bx + c and (i) We … Read more
Question:1 If we add 1 to the numerator and subtract 1 from the denominator, a fraction becomes 1. It also becomes 1/2 if we add 1 to the denominator. What is the fraction. Solution: Let the fraction Then, according to the first condition, we have ……..(i) … Read more
Question1:-Find the zeros of the quadratic polynomial x² + 7x + 12, and verify the relation between the zeros and its coefficients. Solution:- We have, f(x) = x² + 7x + 12 f(x) = x² + 7x + 12 ⇒ f(x) = x² + 4x + 3x + 12 ⇒ f(x) = x(x + 4) … Read more