badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

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

Please check your email for login details.
Close

MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping
Menu
Grade: 

                        
Find the value of sin thetha×Cos3thetha×cosec2thetha-2Cos square thetha
2 years ago

Answers : (2)

Susmita
425 Points 
							
Hey I am using A in place of theta.
Given sinAcos3Acosec2A-2cos2A
=\frac{sinAcos(A+2A)}{sin2A} -2cos^2A
=\frac{sinA(cosAcos2A-sinAsin2A)}{sin2A} -2cos^2A=\frac{sinAcosAcos2A}{sin2A} -\frac{sinAsin2AsinA}{sin2A}-2cos^2A
=\frac{sinAcosAcos2A}{2sinAcosA} -sin^2A-2cos^2A
 
=\frac{1+2cos^2A}{2} -sin^2A-2cos^2A
=\frac{1}{2}+cos^2A -sin^2A-2cos^2A
=\frac{1}{2}-cos^2A -sin^2A
=\frac{1}{2}-1=-\frac{1}{2}
I have used only basic formulas to obtain this.If you find any hardle ask me.Hope this helps
2 years ago
Yash
20 Points 
							
Let Theta=¶ 
Sin¶XCos3¶XCosec2¶-Cos²¶
=Sin¶X(4Cos³¶-3Cos¶)X1/sin2¶-Cos²¶
=Sin¶X(4Cos³¶-3Cos¶)X1/2sin¶cos¶-Cos²¶
=2Cos²¶-3/2-2Cos²¶
=-3/2
2 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Other Related Questions on Trigonometry

In a plane triangle, find the maximum value of u = cos A · cos B · cos C by Lagrange’s method of... Answer & Earn Cool Goodies
sin 2 A + sin 2 B + sin 2 C – 4cos A × cos B × cos C = 4 , Prove it. Answer & Earn Cool Goodies
The sides of a right angle triangle PQR are PQ=7cm; QR=25cm and angle P=90 degrees respectively.Then...
: Prove that: (sec8theta-1)/(sec8theta+1) = tan8theta/tan2theta pdegk,oegjmirjnhrf...
The number of values of theta which satisfy the equation 6sin ^( 3 )theta+ 25sin ^( 2 )theta- 39sin...
View all Questions »


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 31 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers To Win!!! Click Here for details