Home
Class 11
MATHS
lim(alphato pi/4)(sinalpha-cosalpha)/(al...

`lim_(alphato pi/4)(sinalpha-cosalpha)/(alpha-pi/4)` is

A

`sqrt2`

B

`1/sqrt2`

C

1

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - A)|9 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - B)|5 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.5|29 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-D (5 MARKS)|4 Videos

Similar Questions

Explore conceptually related problems

lim_(xto pi/2)(sinx)/x=

lim_(ato pi//4)(sina-cosa)/(a-pi//4)is........

lim_(alphato0)(sin(alpha^(n)))/((sinalpha)^(m))

(sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha) is equal to (a) sec(alpha/2-pi/8) (b) cos(pi/8-alpha/2) (c) tan(alpha/2-pi/8) (d) cot(alpha/2-pi/2)

If pi,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to 2/(sinalpha) (b) -2/(sinalpha) (c) 1/(sinalpha) (d) -1/(sinalpha)

Consider the matrix A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] Show that A_(alpha)A_(beta)=A_(alpha+beta)

Consider the matrix A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] Find all possible real values of alpha satisfying the condition A_(alpha)+A_(alpha)" "^(T)=I.

the expression (1+sin2alpha)/(cos(2alpha-2pi)tan(alpha-(3pi)/4))-1/4sin2alpha(cot(alpha/2)+cot((3pi)/2+alpha/2)) simplifies and reduces to

The set of values of x satisfying the equation sin3alpha=4sinalphasin(x+alpha)sin(x-alpha) is npi+-pi/4,AAn in Z npi+-pi/3,AAn in Z npi+-pi/9,AAn in Z npi+-pi/(12),AAn in Z