The following (particularly the first of the three below) are called "Pythagorean" identities. sin 2 ( t) + cos 2 ( t) = 1. tan 2 ( t) + 1 = sec 2 ( t) 1 + cot 2 ( t) = csc 2 ( t) Advertisement. Note that the three identities above all involve squaring and the number 1. You can see the Pythagorean-Thereom relationship clearly if you consider

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Please see the explanation. Prove: sec^-1(x) + csc^-1(x) = pi/2 Use the identity csc^-1(x) = pi/2 - sec^-1(x): sec^-1(x) + pi/2 - sec^-1(x) = pi/2 pi/2 = pi/2 Q.E.D.
\n \n sin 1x cos 1x formula
–1= (sin –1x + cos x) (sin–1x – cos x) 1 1-12-2 option (2) tanx xsinx x11 2 12 4--p - -->>< ++ 1442443 1 11 x 0,y 0,xy 1 3 35 tan tan tan 5 5 12 - -->>< =+-144424443 1 11 x 0,y 0,xy 1 6 5 155 tan tan tan 9 8 12 1 25--+ =-× 11 155 8 12 220 155 21 1 8 12 æö- = ç÷èø tan tan 1 220 220 21 21
Step by step video & image solution for The domain and range of f(x) = sin^1x + cos^-1 x +tan^-1x + cot^-1x + sec^-1x + cosec^-1x respectively are by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.
Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc If the angles are doubled, then the trigonometric identities for sin, cos and tan are: sin 2θ = 2 sinθ cosθ; cos 2θ = cos 2 θ – sin 2 θ = 2 cos 2 θ – 1 = 1 – 2sin 2 θ; tan 2θ = (2tanθ)/(1 – tan 2 θ) Half Angle Identities. If the angles are halved, then the trigonometric identities for sin, cos and tan are: sin (θ/2) = ±√ . 171 149 104 373 252 366 154 337

sin 1x cos 1x formula