Home
Class 10
MATHS
If angleA=30^@, verify each of the follo...

If `angleA=30^@`, verify each of the following `(i) sin2A=tanA/(1+tan^2A)` `(ii) cosA=(1-tan^2A)/(1+tan^2A)`

Text Solution

Verified by Experts

1)`/_A=30^0`
LHS
`sin2A=sin2(30)=sin60=sqrt3/2`
RHS
`(2tanA)/(1+tan^2A)=(2tan30)/(1+tan^230)=sqrt3/2`
2)LHS
`cos2A=cos2*30=1/2`
RHS
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Taking A=30^(@) , verify the following: tan2A=(2tanA)/(1-tan^(2)A)

If A=30^(@) , verify that (i) sin2A=(2tanA)/(1+tan^(2)A) (ii) cos2A=(1-tan^(2)A)/(1+tan^(2)A) (iii) tan2A=(2tanA)/(1-tan^(2)A)

Prove that sin2A=(2tanA)/(1+tan^2 A)

Taking theta=30^(@) , verify each of the following (i) sin 2theta=2sin theta cos theta (ii) cos theta=2cos^(2)theta-1=1-2sin^(2)theta (iii) tan2theta=(2tantheta)/(1-tan^(2)theta)

Evaluate each of the following: tan^(-1)(tan(9pi)/4) (ii) tan^(-1)(tan1) (iii) tan^(-1)(tan2)

If A= 30^@ verify that :- cos2A= (1-tan^2A)/(1+tan^2A) .

If x=30^@ , verify that : (i) tan2x=(2tanx)/(1-tan^2x) (ii) sinx=sqrt((1-cos2x)/2)

Evaluate each of the following: tan^(-1)((tan(9 pi))/(4))( ii) tan^(-1)(tan1)( iii) tan^(-1)(tan2)

(1 + tan A) / (1-tan A) = (cos2A) / (1-sin2A)

Find the principal values of the following (i) tan^(-1) (tan. (2pi)/(3)) (ii) tan^(-1) (tan (-6))