Trigonometric Identities Worksheet with solution

  Q.1 Prove that √sec²θ + cosec²θ = tanθ+cotθ Solution Q.2 Prove that  Solution Q.3 Prove that  Solution Q.4 Prove that : (sinθ+cosecθ)²+(cosθ+secθ)²=(7+tan²θ+cot²θ) Solution Q.5 Prove that : Solution   Q.6 Prove that : Solution Q.7 Prove that :  Solution Q.8 If 1+sin²θ=3sinθcosθ then prove that tanθ=1 or Solution Q.9 Prove that:  Solution Q.10 Prove … Read more

Proving Trigonometric identities Worksheet[With Solution]

Problem: 01 Prove that: √sec²θ + cosec²θ=tanθ+cotθ Solution : LHS= √sec²θ + cosec²θ =√(1+tan²θ)(1+cot²θ)                  [Using identity : sec²θ=1+tan²θ and cosec²θ=1+cot²θ] = √(tan²θ + cot²θ + 2)  = √(tan²θ + cot²θ +2tanθ.cotθ)  [tanθ.cotθ=1] =√(tanθ+cotθ)² =tanθ+cotθ = RHS    Hence proved  Problem: 02 Prove that : +sinθcosθ=1  Solution:  LHS= … Read more

Online Test : Real number class 10 MCQ for 2021-22 board

 General instruction :  This real number online test contains 15 questions,10 are MCQ’s type and 5 are true false based questions.  Each question carry one mark  You have 25 minutes time to answer these questions, thereafter your test will automatically be completed. In the end, you will see your performance “No.of correct or incorrect answer”. … Read more

Finding Square Root Using Prime Factorization Method

Procedure to find square root using prime factorization method  Write the prime factors of the given number  Make pairs of the equal factors  Write one factor corresponding to each pair  Multiply the obtained factors Q.1 Find the square root of 256 using the prime factorization method. Solution: 256=2×2×2×2×2×2×2×2 Make pairs  256=2×2×2×2×2×2×2×2 √256=√2×2×2×2×2×2×2×2 √256=2×2×2×2 √256=16  Q.2 … Read more

Quadratic equation worksheet with answer

Q.1 Solve the following quadratic equations by factorisation  (i) x²+6x+5=0  (ii) 9x²-3x-2=0  (iii) x²-8x+16=0 (iii) + = (v) x²+2√2x-6=0  (vi) x²-2ax+a²-b²=0  (vii) =++ Solution:  (i) We have , x²+6x+5=0  x²+5x+x+5=0  x(x+5)+(x+5)=0  (x+5)(x+1)=0  So,x=-5 or -1  (ii) We have , 9x²-3x-2=0  9x²-6x+3x-2=0  3x(3x-2)+(3x-2)=0  (3x-2)(3x+1)=0  S0, x= or (iii) We have , x²-8x+16=0 x²-4x-4x+16=0  x(x-4)-4(x-4)=0  (x-4)(x-4)=0  So,x=4  … Read more

Worksheet on degree of polynomial

In this post, you will get a worksheet based on the degree of the polynomial. Check this polynomial notes  Q.1 Write the definition of the degree of the polynomial  Solution: Degree of the polynomial: In the polynomial , the highest power of the variable in any term is called the degree of the polynomial. For … Read more