Learn to Create a Robotic Device Using Arduino in the Free Webinar. Register Now
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
Given Sinx^3+cosx^3+ tanx^3=0 ThenSinx^9+cosx^9+tanx^9=?A 3sinx B3sinx^2 C 9sinx^3 D 3sinx^6 Given Sinx^3+cosx^3+ tanx^3=0 ThenSinx^9+cosx^9+tanx^9=?A 3sinx B3sinx^2 C 9sinx^3 D 3sinx^6
The solution is very simple:Given : sin³x + cos³x + tan³x = 0For easy understanding let sin³x = a, cos³x = b and tan ³x = c...Identity: a³ + b³ + c³ - 3abc = ( a+b+c ) ( a² + b² + c² - ab - bc - ca )If in this a+b+c = 0 then a³ + b³ + c³ = 3 abcHence using this a³ + b³ + c³ = sin^9 x + cos^9 x + tan^9 x which is equal to 3 abc = 3 sin³x * cos³ x * tan³x....Tan x is sin x / cos x..So sin^9 x + cos^9 x + tan^9 x = 3 sin^6 x option D is the answer....
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -