Home
Class 11
MATHS
If 2 sin^(2) theta +5 cos theta=4, Prove...

If `2 sin^(2) theta +5 cos theta=4`, Prove that `cos theta=1//2`

Text Solution

Verified by Experts

The correct Answer is:
`=1/2`
NA
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SUBHASH PUBLICATION|Exercise Alternate Methods|12 Videos

  • SUPER MODEL QUESTION PAPER-3

    SUBHASH PUBLICATION|Exercise Point E|4 Videos

Similar Questions

Explore conceptually related problems

If a sin^(3) theta + b cos^(3) theta = sin^(3) theta * cos theta and a sin theta - b cos theta=0 , then prove that a^(2)+b^(2)=1 .

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

|[4 sin ^2 theta, cos 2 theta],[ -cos 2 theta,cos ^2 theta]| =

If cos theta + sin theta = sqrt(2) cos theta , show that cos theta - sin theta = sqrt(2) sin theta .

If sin theta = 12/13 (0^(@) lt theta lt 90^(@)) , find the value of (sin^(2) theta - cos^(2)theta)/(2 sin theta cos theta) xx (1)/(tan^(2)theta) .

If sin theta - cos theta = 3/5, sin theta cos theta = __________

If sec theta=13//5 and theta is acute find (2 sin theta-3 cos theta)/(4 sin theta-9cos theta)

If sec theta=13//5 and theta is acute find (2 sin theta-3 cos theta)/(4 sin theta-9cos theta)

If sin theta+cos theta=a then sin ^(4) theta+cos ^(4) theta=

Solve sin^(2) theta-cos theta=1/4, 0 le theta le 2pi .