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Class 9 · Mathematics · Expert

A student added numbers from (1) to (175) and then subtracted the sum from (1) to (125). What will be the result?

Class 9 · Mathematics · Expert

Find the sum of natural numbers from (126) to (175).

Class 9 · Mathematics · Hard

If S_n+S_(n−1)=4212 and S_n−S_(n−1)=65, what is the value of S_n?

Class 9 · Mathematics · Hard

What is the sum of the natural numbers from 61 to 125?

Class 12 · Mathematics · Medium

What is the simplified value of (sin x − sin^3 x) / cos^2 x?

Class 9 · Mathematics · Medium

If \(S_n-S_{n-1}=126\) and \(S_m=1953\), what is \(n-m\), where \(S_k=1+2+\cdots+k\)?

Class 9 · Mathematics · Medium

What is the sum of \(121+122+123+\cdots+160\)?

Class 9 · Mathematics · Hard

What is the sum of (58+59+60+\cdots+112)?

Class 12 · Mathematics · Medium

What is the period of the function \(5\cos\left(\frac{x}{2}\right)\)?

Class 12 · Mathematics · Medium

What is the simplified value of 1/(1 + cos x) + 1/(1 - cos x)?

Class 12 · Mathematics · Medium

What is the simplified value of 1/(1 + sin x) + 1/(1 - sin x)?

Class 12 · Mathematics · Easy

If tan x = 1/2, what is the value of (1 - tan^2 x)/(1 + tan^2 x)?

Class 12 · Mathematics · Medium

How can sec^2 x + cosec^2 x be written in terms of tan x and cot x?

Class 12 · Mathematics · Medium

What is the fundamental period of the function tan(2x)?

Class 9 · Mathematics · Hard

Find the sum of natural numbers from (121) to (150).

Class 9 · Mathematics · Hard

How much is the sum of natural numbers from (101) to (120)?

Class 9 · Mathematics · Hard

If Sₙ = 1275, what is the value of S₍ₙ₊₃₎?

Class 9 · Mathematics · Medium

What is the value of S₁₂ + S₁₃ + S₁₄, where S_n is the sum of the first n natural numbers?

Class 12 · Mathematics · Medium

What is the period of the function \(\cos 5x\)?

Class 12 · Mathematics · Medium

If \(\cos^2 x=\frac{9}{16}\) and x is in the fourth quadrant, what is the value of \(\sin x\)?