Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Number of solutions of tanx +secx=2cosx lying in 0,2×180 is

Number of solutions of tanx +secx=2cosx lying in 0,2×180 is

Grade:11

1 Answers

Arun
25763 Points
3 years ago
tan x + sec x = 2cos x 
So , (1+sin x) / cos x = 2cos x 
==> 1 + sin x = 2 cos^2 x 
==> 1 + sin x = 2(1-sin^2 x) 
==> 2sin^2 x + sin x -1 = 0 
==> sin x = -1 or sin x = 1/2 

So there are a total of 3 solutions I think. 

Note: sin x = 1/2 has 2 solutions , 30 and 150 (in degrees) and sin x = -1 has one solution.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free