`f(x)={tan^-1 x ,|x| lt pi/4 and pi/2-|x| , |x| leq pi/4` ,then

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limit x tends to 0 limit x tends to 0 'tan((pi/4)+x)^(1/x)' || `lim_(x- gt0){tan(pi/4+x)}^(1/x)`
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Prove that tan−1(√(1+x)−√(1−x)/√(1+x)+√(1−x))=π/4−1/2cos−1x,−1/√2≤x≤1 l Q11 Misc. Ch-2 Inverse Trigo Prove that tan−1(√(1+x)−√(1−x)/√(1+x)+√(1−x))=π/4−1/2cos−1x,−1/√2≤x≤1 l Q11 Misc. Ch-2 Inverse Trigo
Let f(x)=1-tan x/4 x-π, x ≠π/4, x ∈[0, π/2]. If f(x) is continuous in [0, π/2], then f(π/4)= Let f(x)=1-tan x/4 x-π, x ≠π/4, x ∈[0, π/2]. If f(x) is continuous in [0, π/2], then f(π/4)=
'tan-1(x-1/x-2)+tan-1(x+1/x+2)=π/4' || 'tan-1(x-1/x-2)+tan-1(x+1/x+2)=pi/4' ||
If tan(θ+iϕ)=cosα+isinα, prove that θ=nπ/2+π/4 and ϕ=1/2.logtan(π/4+α/2) If tan(θ+iϕ)=cosα+isinα, prove that θ=nπ/2+π/4 and ϕ=1/2.logtan(π/4+α/2)
tan^-1 (x-1)/(x-2) + tan^-1 (x+1)/(x+2)=pi/4. find X | 12 | INVERES TRIGONOMETRIC FUNCTIONS | MA... tan^-1 (x-1)/(x-2) + tan^-1 (x+1)/(x+2)=pi/4. find X | 12 | INVERES TRIGONOMETRIC FUNCTIONS | MA...
If `f(x)=(tan(pi/4-x))/(cot2x)` for `x!=pi/4,` find the value which can be assigned to `f(x)` at... If `f(x)=(tan(pi/4-x))/(cot2x)` for `x!=pi/4,` find the value which can be assigned to `f(x)` at...