Army Public School, Hisar



ASSIGNMENTInverse Trigonometry FunctionsEvaluate : sinsec-11715.Evaluate: tan?(12sin-135).Evaluate : sincos-135.Evaluate: tan-1[tan(-3π4)]Solve the equation : sin-11-x=π2 + 2sin-1x.Prove that: cos2tan-117=sin?(4tan-113).Write cot-1(1+x2-x) in the simplest form.If cos-1x2+cos-1y3=α ,then prove that 9x2-12xy cosα+4y2=36sin2α .Evaluate: cos?(sin-1817).Solve the equation: tancos-1x= sin?(cot-112 ) .Evaluate: cos[cos-1-32+π4] .Prove that: cos-1cosa+cosb1+ cosa cosb=2tan-1(tana2tanb2). Simplify : cos-135cosx+45sinx. Prove thatcostan-1sincot-1x=1+x22+x2.Solve for x: sin-1 6x + sin-1( 63 x) = -π2 .Prove that tan(2sin-145 + cos-11213) = -253204.Solve the inverse trigonometrical equation : cos(tan-1 x) = sin(cot-1 34) .If y = cot-1cosx-tan-1cosx, prove that siny= tan2x2 . Solvetan-1x-1+tan-1x+tan-1x+1=tan-13x.If cos-1x+cos-1y+cos-1z=π, prove that x2 + y2 + z2 + 2xyz = 1. ................
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