Flag Trigonometry> if sin(50degree – 3/2a) = cos(3 alpha – 5...
question mark

if sin(50degree – 3/2a) = cos(3 alpha – 50degree ) , then findthe value of alpha and hence evaluate tan alpha.secalpha.sinalpha – cotalpha.sinalpha.cosalpha

aravind , 9 Years ago
Grade 12
anser 1 Answers
Shubham Kamleshbhai Patel

Last Activity: 9 Years ago

This is a easy one.
U need to use here cos a = sin ( 90 - a )
 
sin ( 50° – 3/2 a ) = cos ( 3a – 50° )
=> sin ( 50° – 3/2a ) = sin ( 120° – 3a )
 
U will the value of a = 60°
 
Thus, applying a in tan a x sec acot a x sin a x cos a
=> root 3 x 2 – 1/root 3 x root3 / 2 x ½
=> 4 root 3 – 1 / 4
 
Do check the answer and reply back......
 

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments