the value of e^(log(10)tan1^@+log(10)tan...

the value of `e^(log_(10)tan1^@+log_(10)tan2^@+log_(10)tan3^@....+log_(10)tan89^@`

A

0

B

e

C

`1//e`

D

1

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

TRIGONOMETRIC RATIOS AND IDENTITIES
OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
TRIGONOMETRIC RATIOS AND IDENTITIES
OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos
TRIGONOMETRIC EQUATIONS AND INEQUATIONS
OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

log_(10)tan1^(@).log_(10)tan2^(@)*log_(10)tan3^(@)........log_(10)tan50^(@)=0

the value of e^(log_(10)tan1+log_(10)2+log_(10)3+.........+log_(10)tan89)is

The value of e^(log_(10)tan1^(0)+log_(10)tan2^(0)+...+log_(10)tan89^(@)) is (a)1 (b)e (c)1/e (d)none

log_(10) tan 1^(@) + log_(10) tan 2^(@) +....+ log_(10) tan 89^(@) =

Prove that : log_(10)tan1^(@)*log_(10)tan2^(@)...log_(10)tan89^(@)=0

Find the value of log_(10)5*log_(10)20+(log_(10)2)^(2)

log_(10)tan 1^(@)+log_(10)tan2^(@)+…..+log_(10)tan89^(@) is equal to :

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise

The value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to
Text Solution
|
2tan^2 alpha tan^2 betatan^2gamma+tan^2 alpha tan^2beta+tan^2 betatan^...
Text Solution
|
the value of e^(log(10)tan1^@+log(10)tan2^@+log(10)tan3^@....+log(10)t...
Text Solution
|
For what and only what values of alpha lying between 0 and pi/2 is the...
Text Solution
|
If (secA-tanA)(secB-tanB)(secC+tanC)=(secA+tanA)(secB+tanB)(secC-tanC)...
Text Solution
|
If pi lt alpha lt (3pi)/2then the expression sqrt(4 sin^4alpha +sin^2 ...
Text Solution
|
If alpha is an acute angle and sin(alpha/2)=sqrt((x-1)/(2x)) then tan ...
Text Solution
|
Find the Value of tan 82 1/2^@
Text Solution
|
The value of tan6^0tan42^0tan66^0tan78^0 is 1 (b) 1/2 (c) 1/4 (d)...
Text Solution
|
The value of cot36^(@)cot72^(@), is
Text Solution
|
The value of cospi/7+cos(2pi)/7+cos(3pi)/7+cos(4pi)/7+cos(5pi)/7+cos(6...
Text Solution
|
cos(2pi/7)+cos(4pi/7)+cos(6pi/7)
Text Solution
|
The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9), is
Text Solution
|
The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9)cos""(4pi)/(9), ...
Text Solution
|
The vlaue of cosec^(2)""(pi)/(7)+cosec^(2)""(2pi)/(7)+cosec^(2)""(3pi)...
Text Solution
|
sin1 2^(@)sin4 8^(@)sin5 4^(@)=
Text Solution
|
the value of sin(pi/7)+sin((2pi)/7)+sin((3pi)/7) is
Text Solution
|
cos^6pi/9-33tan^4pi/9+27tan^2pi/9 is equal to 0 (b) sqrt(3) (c) 3 ...
Text Solution
|
(sin^2 3A)/(sin^2A)-(cos^2 3A)/(cos^2A)=
Text Solution
|
If sinA=(336)/(625)where450^(@)ltAlt540^(@), then sin""(A)/(4)=
Text Solution
|