Home
Class 12
MATHS
"If" (n tan theta)/(cos^(2) (alpha - the...

`"If" (n tan theta)/(cos^(2) (alpha - theta))= (m tan (alpha - theta))/(cos^(2) theta) "then show that" tan ( alpha - 2 theta) = (n-m)/(n+m) tan alpha`

Text Solution

Verified by Experts

The correct Answer is:
`tan ( alpha - 2 theta) = (n-m)/(n+m) tan alpha`
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 beta = (n sin alpha cos alpha)/(1-n sin^(2) alpha), "show that", tan (alpha - beta) = (1 - n) tan 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 tan theta = cos2 alpha tan phi, prove that tan (phi - theta) = (tan^(2) alpha sin 2 phi)/(1+ tan^(2) alpha cos 2 phi)

If cos^(3) theta = kcos (alpha- 3 theta) and sin ^(3) theta= ksin (alpha-3 theta) , then show that 2k^(2)-k cos alpha-1=0

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

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

If (m+2) sin theta+(2m-1) cos theta=(2m+1) , then show that tan theta= =(4)/(3)or (2m)/(m^(2)-1) .

Show that (1)/(3) lt (sec^(2) theta - tan theta)/( sec^(2) theta+ tan theta) lt3 .

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