1800-150-456-789
FlagBACK
Flag Trigonometry> If cos -1 x=tan -1 x then prove that the ...
question mark

If cos-1x=tan-1x then prove that the following sin(cos-1x)=x2

Athinarayanan Ameraj , 8 Years ago
Grade 12
anser 1 Answers
Ajay

Last Activity: 8 Years ago

Let\quad \cos ^{ -1 }{ x\quad =\quad \tan ^{ -1 }{ x\quad = } y } \\ Implies\quad \cos { y } =\quad x\quad and\quad tany\quad =x\\ \frac { siny }{ cosy } =\quad x\quad Put\quad cosy\quad =\quad x\\ \frac { siny }{ x } =\quad x\\ siny\quad =\quad { x }^{ 2 }\quad put\quad y\quad =\quad \cos ^{ -1 }{ x\quad we\quad have } \\ sin\quad (\cos ^{ -1 }{ x)\quad =\quad } { x }^{ 2 }

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 2 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
0 Answer Available

Last Activity: 3 Years ago