Class X Session 2023-24 Question 11

 MATH SAMPLE QUESTION PAPER

Class X Session 2023-24

MATHEMATICS STANDARD (Code No.041) 

Question 11

Giventhatsinθ=ab,thencosθ is?

(a)bb2a2(b)ba(c)b2a2b(d)ab2a2


Explanation : 

Giventhatsinθ=ab,tofindthecosθ

The Pythagorean identity states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (𝑎 and 𝑏). Mathematically, it is represented as 

sin2Θ+cos2Θ=1,(a) 

Sinceweknowthatsinθ=ab

we can substitute this value into the Pythagorean identity

a2b2+cos2θ=1 

ORcos2θ=1a2b2

Taking the square root of both sides

cos2θ=±1a2b2

Guess the Option and comment below  👇

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