Home
Class 12
MATHS
If 0 lt alpha lt (pi)/(3), then prove th...

If `0 lt alpha lt (pi)/(3)`, then prove that `alpha (sec alpha) lt (2pi)/(3).`

A

less than `(pi)/(3)`

B

greater than `(pi)/(3)`

C

less than `(2pi)/(3)`

D

greater than `(2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If 0 lt alpha lt beta lt (pi)/(2) then

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If 0 lt x lt pi /2 then

If 0 lt x lt pi/2 then

If 0 lt alpha lt pi/2 then show that tanalpha+cotalphagtsinalpha+cosalpha

If (pi)/(2)lt alpha lt (3pi)/(4) , then sqrt(2tan alpha+(1)/(cos^(2)alpha)) is equal to

If (3pi)/4 lt alpha lt pi , then sqrt(2cotalpha+1/(sin^2alpha)) is equal to (a) 1-cotalpha (b) 1+cotalpha (c) -1+cotalpha (d) -1-cotalpha

If 0 lt alpha lt (pi)/(16) and (1+tan alpha)(1+tan4alpha)=2 , then the value of alpha is equal to

If cos (theta - alpha) = a and sin(theta - beta) = b (0 lt theta - alpha, theta - beta lt pi//2) , then prove that cos^(2) (alpha - beta) + 2ab sin (alpha - beta) = a^(2) + b^(2)

If sec alpha=13/5, (0 lt alpha lt pi/2) , then the value of (2-3cotalpha)/(4-9sqrt(sec^(2)alpha-1)) is