Home
Class 14
MATHS
Consider the following statements : 1...

Consider the following statements :
1. The equation `2 sin^(2) theta - cos theta + 4 = 0` is possible for all `theta` .
2. `tan theta + cot theta ` cannot be less than 2, where `0 lt theta lt pi/2`
Which of the above statements is/are correct ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If tan8 theta = cot 2 theta , where 0 lt 8 theta lt pi/2 , then what is the value of tan 5 theta ?

If tan theta +cot theta =(4)/(sqrt(3)) , where 0 lt theta lt (pi)/(2) , then sin theta +cos theta is equal to

If sin theta + 2cos theta = -1 , where 0 lt theta lt pi/2 , what is 2 sin theta - cos theta equal to ?

If cosec theta - cot theta = 1/2, 0 lt theta lt pi/2, then cos theta is equal to

If tan 6 theta = cot 2 theta , where 0 lt 6 theta lt ( pi )/(2) , then what is the value off sec 4 theta ?

Consider the following statements 1 (1+tan^(2)theta)/(1+cot^(2)theta)=(1-tan theta)/(1-cot theta)^(2) is true for all 0 lt thetalt (pi)/(2),theta ne (pi)/(4) 2 cot theta=(1)/(tan theta) is true for theta =45^(@) only Which of the above statements is /are correct?

If : cos 6 theta + cos 4 theta + cos 2 theta + 1 = 0 , where, 0 lt theta lt 180^(@) , then : theta =

If sec theta=2cos theta , where (pi/2) lt theta lt pi , then what is the value of theta ?