If `tantheta=tanalpha` and `90ltalphalt180`, then ' theta ' can be in the ----- quadrant.

intsec^11theta tantheta d theta

If tantheta=b/a, find the value of acos2theta+bsin2theta

Fill in the gaps with correct answer . If theta lies in the third quadrant and tan theta = 2 then the value of sin theta is _____

In the following questions, write 'T' for true and 'F' for false statements. If theta lies in 3rd quadrant, then cos (theta)/2 + sin (theta)/2 is positive.

Prove that sectheta+tantheta=tan(pi/4+theta/2)

If tantheta=(asinx+bsiny)/(acosx+bcosy) then show that a sin(theta-x)+b sin(theta-y)=0

Fill in the blank spaces with appropriate answers: The angle of refraction in a transparent medium is (90-theta) where theta is the angle of incidence of a ray of light as it passes from air into the transparent medium. The refractive idnex of the transparent medium is mu = _________.

Prove the following : tan4theta = (4tantheta-4tan^3theta)/(1-6tan^2theta+tan^4theta)

Prove that tantheta(1+sec2theta)=tan2theta

What is the angle of contact for clean glass water boundary? How this can be increased to well over 90^@