Home
Class 12
MATHS
If f(x)=x^(11)+x^9-x^7+x^3+1 and f(sin^(...

If `f(x)=x^(11)+x^9-x^7+x^3+1` and `f(sin^(-1)(sin8))=alpha,alpha` is constant, then `f(tan^(-1)(tan8))` is equal to `alpha` (b) `2-alpha` (c) `alpha-2` (d) `alpha+2`

A

2

B

3

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|6 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|2 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha,alpha is constant,then f(tan^(-1)(tan8)) is equal to (A) alpha(B)alpha-2 (C) alpha+2(D)2-alpha

if f(x)=(sin (x+alpha)/(sin(x+beta))),alpha ne beta then f(x) has

tan alpha+2tan2 alpha+4tan4 alpha+8tan8 alpha+16tan16 alpha+32cot32 alpha. is equal to: (1)cot alpha(2)tan alpha.(3)cos alpha(4)sin alpha

If f(x)=27x^(3)+(1)/(x^(3)) and alpha,beta are the roots of the equation 3x+(1)/(x)=2, then -f(alpha) is equal to

(sec8 alpha-1)/(sec4 alpha-1)=(tan8 alpha)/(tan2 alpha)

If sin(x+3 alpha)=,3sin(alpha-x) then (A) tan x,=tan alpha (B) tan x,=tan^(2)alpha (C) tan x,=tan^(3)alpha (D) tan x,=3tan alpha

If cos y=x cos(alpha-y) then (1+x^(2)-2x cos alpha)*(dy)/(dx) is (A) sin alpha (B) -sin alpha (C) cos alpha (D) -cos alpha