26) In `Delta ABC,/_A=theta,/_B=90^(@)`and `/_C=phi` If `BC=x` and `AC=(x+2)` ,find the values of (i) `(sqrt(x+1))cot phi` (ii) (sqrt(x^(3)+x^(2)))tan theta`(iii) `cos theta`

" In "/_\PQR, /_Q=90^(@)/_P=theta^(@)" and "/_R=phi , PR=x+2 Find (i) (sqrt(x+1))cot phi (ii) (sqrt(x^(3)+x^(2)))tan theta" (iii) "cos theta

23.If cot theta=(2x)/(sqrt(9-4x^(2))),th(i)sin theta+cos theta

Find the general solution of ( i ) tan theta=(1)/(sqrt(3)) (ii) tan2 theta=sqrt(3)( iii)tan 3 theta=-1

Evaluate (x)/(sqrt(a^(2)+x^(2))) where a=x tan theta .

If cosec theta = 3x and cot theta = (3)/(x) , then find the value of (x^(2) - (1)/(x^(2))) .

If tan theta = 1 and sin phi = (1)/( sqrt(2)) , then the value of cos (theta + phi) is

Solve (i) sqrt(3)cos theta+sin theta=sqrt(2)(ii)sqrt(2)sec theta+tan theta=1( iii) cot theta+cos ec theta=sqrt(3)

If theta and phi lie in the first quadrant such that sin theta =(8)/(17) "and cos " phi =(12)/(13) find the values of (i) " sin"(theta- phi) " "(ii) " cos " (theta + phi) " " (iii) " tan " (theta - phi)

Find the value of theta in each of the following: (i) 2sin2 theta=sqrt(3)(ii)2cos3 theta=1(iii)sqrt(3)tan2 theta-3=0

If sin theta=(x^2-y^2)/(x^2+y^2) then find the values of cos theta and cot theta