Home
Class 12
MATHS
Statement-1: If 2sin""(theta)/(2)=sqrt(1...

Statement-1: If `2sin""(theta)/(2)=sqrt(1+sintheta)+sqrt(1-sintheta,) then theta in((8pi+1)(pi)/(2),(8n+3)(pi)/(2))`
Statement-2: `If""(pi)/(4)lethetale(3pi)/(4),then sin""(theta)/(2)gt0.`

A

Both Statement I and Statement II are individually true and R is the correct explanation of Statement I.

B

Both Statement I and Statement II are individually true but Statement II is not the correct explanaton of Statement I.

C

Statement I is true but Statement II is false.

D

Statement I is false but Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Statement-1: If 2sin""(theta)/(2)=sqrt(1+sintheta)+sqrt(1-sintheta,) then theta in((8n+1)(pi)/(2),(8n+3)(pi)/(2)) Statement-2: If""(pi)/(4)lethetale(3pi)/(4),then sin""(theta)/(2)gt0.

Prove that sqrt(1+sin theta)/sqrt(1-sin theta)=sec theta + tan theta ,-(pi)/(2) lt theta lt (pi)/(2)

sqrt(((1+sin2theta))/(1-cos^(2)theta))["where" theta in [0,(pi)/(4)]]=

sqrt((1-sin theta)/(1+sin theta))={sec theta-tan theta, if -(pi)/(2)

If r sin theta=sqrt(3),r+4sin theta=2(sqrt(3)+1), and 0<=theta<=2 pi, then theta=

Statement-1: sin (pi+theta)=-sin theta Statement-2: sin(npi+theta)=(-1)^(n) sin theta , n in N .

If (pi)/(2)

If theta in[(pi)/(2),(3 pi)/(2)] then sin^(-1)(sin theta)=

If r sintheta=3,r=4(1+sintheta),0lethetale2pi,"then "theta=

If sin(pi cos theta)=cos(pi sin theta), then show that theta=+-(1)/(2)sin^(-1)((3)/(4))