Home
Class 11
MATHS
If b lt 1. sin t lt0.cos t lt 0 and log(...

If `b lt 1. sin t lt0.cos t lt 0 and log_(b) (sin t)=x,` then `log_(b) (cost)` is equal to

A

`(1)/(2)log_(b)(1-b^(2^(x)))`

B

`2log(1-b^(x//2))`

C

`log_(b)sqrt(1-b^(2x))`

D

`sqrt(1-x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-I(MAIN) (SINGLE ANSWER TYPE QUESTIONS)|47 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|10 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|8 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

Lt_(x to 0) log_(x) sin x=

If -1 lt x lt 0," then "cos^(-1)x is equal to

Lt_(x to 0)(log_(sinx)sin2x)=

If 0 lt x lt pi and cos x + sin x=1/(2) , then tanx =

Lt_(x to 0)log_(2x)x=

If 0 lt x lt pi , and cos x+ sin x =1//2 , then tan x=

If 0 lt a lt b , then int_(a)^(b) (|x|)/(x) dx=

If x = a[cos t + log tan (t/2)], y = a sin t then find (dy)/(dx) .

If a,b, and c are in G.P., with 1 lt a lt b lt x and n gt 1 is an integer then find the sequence formed by log_a n,log_b n,log_c n ……….