If `theta(0 letheta le90^(@))` and `4 cos^(2)theta -4 sqrt3 cos theta +3=0,` then the value of `theta` is

Question

If `theta(0 letheta le90^(@))` and `4 cos^(2)theta -4 sqrt3 cos theta +3=0,` then the value of `theta` is

If `theta(0 letheta le90^(@))` and
`4 cos^(2)theta -4 sqrt3 cos theta +3=0,` then the value of `theta` is
A. `30^(@)`
B. `90^(@)`
C. `45^(@)`
D. `60^(@)`

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

Related Questions

Q.6 Which of the following vectors is perpendicular to vector \( (\hat{\imath} Q \sin \theta-\hat{\jmath} \operatorname{Pcos} \theta) \) (a) \( \hat{\imath} P \cos \theta+\hat{\jmath} Q \sin \theta \) 4b) \( \hat{\imath} \operatorname{Qcos} \theta-\hat{\jmath} P \sin \theta \) (c) \( \hat{\imath} P \sin \theta+\hat{\jmath} Q \cos \theta \) (d) \( \hat{\imath} Q \sin \theta-\hat{\jmath} P \cos \theta \)

2 Answers 5 Views

उन रेखाओ के बिच का कोण क्या है जिनकी दिक्-कोज्याएँ है : `(- (sqrt3)/(4),(1)/(4), - (sqrt3)/(2), )((-sqrt3)/(4),(1)/(4), (sqrt3)/(2))`

2 Answers 4 Views

The value of `theta(0 letheta le90^(@))` satisfying `2 sin^(2) theta= 3 cos theta is ` `2 sin^(2) theta= 3 cos theta is `(को संतुस्ट करने वाले) `theta

2 Answers 4 Views

If `cos^(4)theta-sin^(4)theta=(2)/(3)=(2)/(3)`, then the value of `2cos^(2)theta -1` is(यदि `cos^(4)theta-sin^(4)theta=(2)/(3)=(2)/(3)` है तो `2 cos^(

2 Answers 4 Views

If `2cos theta-sintheta`=`(1)/(sqrt2)` `theta(0 letheta le90^(@))` the valie of `2sin theta+cos theta is`

2 Answers 4 Views

If `sec^(2)theta+tan^(2)theta=7` then the value of `theta` when `theta(0 letheta le90^(@))` is (यदि `sec^(2)theta+tan^(2)theta=7` है तो `theta` का मान

2 Answers 4 Views

If `sec theta+tan theta= sqrt3(0^(@)le theta le 90^(@))` then the value of `tan^(3)theta=?`(यदि `sec theta+tan theta= sqrt3(0^(@)le theta le 90^(@))`

2 Answers 4 Views

If `cos^(2)theta-sin^(2)theta=(1)/(3)`, where, `theta(0 letheta le90^(@))`, the value of `co^(4)theta` is (यदि `cos^(2)theta-sin^(2)theta=(1)/(3)` और

2 Answers 5 Views

सरल कीजिए- `cos theta[(cos theta, sin theta),(-sin theta, cos theta)]+sin theta [(sin theta, -cos theta),(cos theta, sin theta)]`

2 Answers 6 Views

यदि `A=[(cos theta, sin theta),(-sin theta, cos theta)]` हो तो सिद्ध कीजिए कि `A^(n)=[(cos n theta, sin n theta),(- sin n theta,cos n theta)] n epsilo

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - a
`4cos^(2)theta-4sqrt(3)cos theta+3=0`
Hit `&` trial method
Put `theta=30^(@)` option(a)
`4cos^(2)30^(@)-4sqrt(3)cos30^(@)+3=0`
`4((3)/(4))-4sqrt(3)((sqrt(3))/(2))+3=0`
`0=0`

7 views Answered 2023-02-05 15:29