Home
Class 12
MATHS
If 2 cos theta= a+(1)/(a) and 2 cos phi=...

If `2 cos theta= a+(1)/(a) and 2 cos phi= b +(1)/(b)`, show that `2 cos (theta- phi) =(a)/(b)+(b)/(a)`

Answer

Step by step text solution for If 2 cos theta= a+(1)/(a) and 2 cos phi= b +(1)/(b), show that 2 cos (theta- phi) =(a)/(b)+(b)/(a) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If 2costheta=a+1/a and 2 cosphi=b+1/b ,then prove that 2cos(theta-phi)=a/b+b/a

If costheta=1/2(a+1/a) cos(phi)=1/2(b+1/b) show that one of the values of 2cos(theta-phi) is (a/b+b/a)

If " " tan theta = 1/7 " and " tan phi = 1/3 " show that", cos 2 theta = sin 4phi

If cot theta = cos (x+y) "and" cot phi = cos (x-y), "show that" tan (theta- phi)=(2sin x sin y )/(cos^(2) x + cos^(2) y)

If 2 tan theta = cot phi, "show that" cos(theta - phi) = 3 cos ( theta + phi).

If a^(2)(1- sin theta) +b^(2)(1+ sin theta)= 2 ab cos theta then show that 2tan theta=(a)/(b)-(a)/(a)

If cos theta = n cos ( theta + 2 phi) "show that"(n+1) tan ( theta + phi)= (n-1) cot phi

If phi(x)=(1-x)/(1+x) , show that, phi(cos2 theta)=tan ^2theta.

"If " a sin theta + b cos theta = c " and " a cosec theta + b sec theta = c "show that ," sin 2 theta=(2ab)/(c^(2)-a^(2)-b^(2))

"If" (a cos theta sec phi - x)/(a sin (theta + phi)) = (y - b sin theta sec phi)/(b cos (theta + phi)) = tan phi, "show that," x^(2)/a^(2) + y^(2)/b^(2) = 1.