Home
Class 12
MATHS
If tan theta = ( tan alpha + tan beta)/(...

`If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)`

Text Solution

Verified by Experts

The correct Answer is:
`= (sin 2 alpha + sin 2 beta)/(1 + sin 2 alpha sin 2 beta)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Choice Questions|12 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|12 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

If tan theta = (x sin alpha + y sin beta)/(x cos alpha + y cos beta), "prove that " x sin (theta - alpha) + y sin (theta - beta) = 0

If" " 2 tan alpha = 3 tan beta, " show that",tan ( alpha - beta) = (sin 2 beta)/(5- cos 2 beta).

If tan 2alpha = cot 2beta , then sec(alpha + beta) =

If alpha ne beta " and " a tan alpha + b tan beta = (a + b) "tan" (alpha + beta)/2,"show that" (cos alpha)/(cos beta) = a/b.

If" " tan theta = (sin alpha - cos alpha)/(sin alpha + cos alpha),"prove that",2 cos^(2) theta = 1 + sin 2 alpha.

If" " n tan alpha = (n+1) tan beta " then show that", tan (alpha - beta) = (sin 2 beta)/(2n + 1 - cos2 beta).

If tan theta = (Q sin alpha)/(P + Q cos alpha), "prove that", tan (alpha - theta) = (P sin alpha)/(Q + P cos alpha).

If sin theta = nsin(theta +2alpha) then tan(theta + alpha) =

If tan theta = cos2 alpha tan phi, prove that tan (phi - theta) = (tan^(2) alpha sin 2 phi)/(1+ tan^(2) alpha cos 2 phi)