Home
Class 11
MATHS
If cos (alpha + beta) = (4)/(5), sin (al...

If cos `(alpha + beta) = (4)/(5), sin (alpha - beta) = (5)/(13) and alpha and beta ` lie between 0 and `(pi)/(4)`, find tan `2 alpha `.

Text Solution

Verified by Experts

The correct Answer is:
`(56)/(33)`
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER -12

    ICSE|Exercise Section - B |10 Videos
  • MODEL TEST PAPER -12

    ICSE|Exercise Section - C |10 Videos
  • MODEL TEST PAPER -11

    ICSE|Exercise Sections - C|10 Videos
  • MODEL TEST PAPER -13

    ICSE|Exercise SECTION -C|10 Videos

Similar Questions

Explore conceptually related problems

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha lie between 0 and (pi)/(4) , then find that value of tan2alpha .

If sin (alpha + beta) = 4/5 , cos (alpha - beta) = (12)/(13) 0 lt alpha lt (pi)/(4), 0 lt beta lt (pi)/(4), find tan 2 alpha .

If sin (alpha + beta) = 4/5 , sin (alpha -beta) = (5)/(13), alpha + beta , alpha - beta being acute angles prove that tan 2 alpha = (63)/(16).

If cos(alpha+beta)=4/5; sin(alpha-beta)=5/13 and alpha,beta lie between 0&pi/4 then find the value of tan2alpha

It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie between 0a n dpi/4 , prove that tan2alpha=(56)/(33)

It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie between 0a n dpi/4 , prove that tan2alpha=(56)/(33)

If cos(alpha+beta)=0 then sin(alpha+2beta)=

Let cos (alpha+beta) = 4/5 and sin(alpha-beta)=5/13 where 0<= alpha,beta<= pi/4 then find tan (2alpha)

alpha + beta = 5 , alpha beta= 6 .find alpha - beta

Show that (sin (alpha + beta))/( sin (alpha + beta)) = 2, given that tan alpha = 2 tan beta.