shaalaa.com
S

Solution - Trigonometric Identities

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Question

If (secA + tanA)(secB + tanB)(secC + tanC) = (secA – tanA)(secB – tanB)(secC – tanC) prove that each of the side is equal to ±1. We have,

Solution

You need to to view the solution
Is there an error in this question or solution?

Similar questions

If sinθ + cosθ = p and secθ + cosecθ = q, show that q(p2 – 1) = 2p

view solution

Prove the following identities, where the angles involved are acute angles for which the expressions are defined

`(tantheta)/(1-cottheta) + (cottheta)/(1-tantheta) = 1+secthetacosectheta`

view solution
 
 

Prove the following identities, where the angles involved are acute angles for which the expressions are defined.

`(1+ secA)/sec A = (sin^2A)/(1-cosA)`

[Hint : Simplify LHS and RHS separately]

 
 
view solution

Prove the following identities:

`( i)sin^{2}A/cos^{2}A+\cos^{2}A/sin^{2}A=\frac{1}{sin^{2}Acos^{2}A)-2`

`(ii)\frac{cosA}{1tanA}+\sin^{2}A/(sinAcosA)=\sin A\text{}+\cos A`

`( iii)((1+sin\theta )^{2}+(1sin\theta)^{2})/cos^{2}\theta =2( \frac{1+sin^{2}\theta}{1-sin^{2}\theta } )`

view solution

Choose the correct option. Justify your choice.

`(1+tan^2A)/(1+cot^2A)`

A) secA

(B) −1

(C) cotA

(D) tanA

view solution

Content BooksVIEW ALL [1]

Reference Material

S