# Improper Fractions

Updated On: 25-6-2020

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View AllVery Important Questions

Prove that

5costheta+3cos(theta+pi/3)+3

lies between

-4a n d10.

Find the maximum and minimum values of

7\ costheta+24\ sintheta

If

t a nalpha=x+1,tanbeta=x-1,

show that

2cot(alpha-beta)=x^2dot

If

sin alpha sin beta-cosalphacosbeta+1=0,

then prove that

1+cotalphatanbeta=0

Prove that

(tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)=tan (3theta)tan theta

If

alpha, beta

are two different values of

x

lying between

0 and 2pi

which satisfy the equation

6 cos x + 8 sin x = 9

, find the value of

sin (alpha + beta)

If

sin(alpha+beta)=1

and

sin(alpha-beta)=1/2

, where

0lt=alpha, betalt= pi/2

, then find the values of

tan(alpha+2beta)

and

tan(2alpha+beta)

.

If

tan A+tan B=a

and

cot A+cot B=b ,

prove that:

cot(A+B)=1/a-1/b

If

cos A+sin B=m

and

sin A+cos B=n ,

prove that

2sin(A+B)=m^2+n^2-2.

If

tan(A+B)=x

and

tan(A-B)=y

then find the values of

tan2A

and

tan2B

FAQs on Fractions

FRACTION A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.

What fraction of a day is 8 hours ?

Write the fraction representing the shaded portion:

Representations of fractions on the number line

Fraction as division

Proper Fractions

Improper Fractions

Mixed Fractions

Conversion of mixed fractions into improper fractions and vice-versa

Equivalent Fractions

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