Home
Class 11
MATHS
If sin (x + 20^(@)) = 2 sin x cos 40^(@)...

If `sin (x + 20^(@)) = 2 sin x cos 40^(@), ` where `x in (0.pi //2),` then which of the following hold (s) good?

A

`cos 2x =1//2`

B

`cosec 4x =2`

C

`sec ""x/2 = sqrt6 - sqrt2`

D

`tan ""x/2 = (2- sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) ( LEVEL - II (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|5 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) ( LEVEL - II (ADVANCED) MATRIX MATCHING TYPE QUESTIONS)|4 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

Similar Questions

Explore conceptually related problems

If (sin x)/(sin y)=1/2, (cos x)/(cos y)=3/2 = 3/2 , where x, y in (0,pi/4) , then the value of tan(x+y) is equal to:

If (sin x)/(sin y)=(1)/(2), (cos x)/(cos y)=(3)/(2) , where x,y in (0,(pi)/(4)) , then the value of tan (x + y) is equal to

If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then

Which of the following hold (s) good for the function f(x)=2x-3x^(2//3)

If sin x ( cos ""(x)/( 4) - 2 sin x) + ( 1 + sin "" (x)/( 4) - 2 cos x) cos x = 0 then x =

( sin x - cos x)^(2) + cos^(2) ((pi)/(4) - x) in

(sin x + cos x)^(2) + cos^(2)((pi)/(4) + x) in

Evaluate int_(0)^(2pi) [ sin x + cos x] dx where [ ] denotes the G.I.F.

Solve sin 3x + sin x + 2 cos x = sin 2x + 2 cos^(2)x