tan a - cot A =-2 cot2a
Answers
Answer:
cotA-tanA = 2.cot 2A
L.H.S.
=cosA/sinA-sina/cosA
=(cos^2A-sin^2A)/sinA.cosA
=(cos2A)/(1/2.sin2A)
=2.(cos2A/sin2A)
=2.cot2A , Proved.
How do I prove that tan A + Cot And = 2cosec2A?
How do I prove that tan A - cot A and = -2cot2A?
How do I prove that tan A + cot A is equal to 2/sin 2A?
How do I prove that tan A/2 - cot A/2 + 2 cot A = 0?
Sin 2A/1+cos2A=tanA, how can we prove it?
2cot 2A= 2cos2A/sin2A
Double angle identities for :-
Cos2A = Cos²Α−Sin²Α
Sin2A= 2SinACosA
Put the value of Cos2A and Sin2A
2cot2A = 2(cos²Α-sin²Α)/2sinA cosA
2cot2A = (cos²Α/sinAcosA)-(sin²A/sinAcosA
2cot2A= cotA - tanA
LHS = cot A - tan A
= cotA - 1/cotA
= (cot²A - 1)/cotA ………………. LHS
RHS = 2 cot2A
=2 *(1-tan²A) / 2tanA
= 2 *{ 1 - (1/cot² A) } /2tanA
= 2 *{(cot²A - 1) / cot²A} / {(2/cotA)}
= 2 * {(cot²A -1) / (2cotA) }
= ( cot²A -1 ) / cotA ……………. RHS
=> LHS = RHS
Long-term goals or a short-term goals, aim to meet them all.
cotA-tanA=2cot2A
this can be written as…
(cosA/sinA) - (sinA/cosA)
(cos^2A -sin^2A) / (sinAcosA)
multiplying num. & deno. by 2
2cos2A/sin2A
2cot2A…..proved
How can I prove (cot A -1) / (2-sec^2A) = cot A/ (1+tanA)?
How do I prove Tan 2A-Tan A=Sec 2A Tan A?
How can I prove that 1+tan2A1+cot2A=(1−tanA1−cotA)2=tan2A ?
How do I prove cot(x)−tan(x)=2cot(2x) ?
Can you prove that tan (A+B)-tan(A-B)=sin2B/(cos^2B-sin^2A)?
Cota-tana=cosa/sina-sina/cosa
Cos^2a_
CosA/SinA - SinA/CosA
Taking L.C.M
(CosA )^2 - (SinA)^2/ SinACosA
Cos2A/SinACosA
Multiplying and Dividing by 2
2Cos2A/2SinACosA
2Cos2A/Sin2A
2Cot2A.
Hence proved!!
Not every PC matches how your employees work. Dell Latitude does!
How do I prove that tan A + Cot And = 2cosec2A?
How do I prove that tan A - cot A and = -2cot2A?
How do I prove that tan A + cot A is equal to 2/sin 2A?
How do I prove that tan A/2 - cot A/2 + 2 cot A = 0?
Sin 2A/1+cos2A=tanA, how can we prove it?
How can I prove (cot A -1) / (2-sec^2A) = cot A/ (1+tanA)?
How do I prove Tan 2A-Tan A=Sec 2A Tan A?
How can I prove that 1+tan2A1+cot2A=(1−tanA1−cotA)2=tan2A ?
How do I prove cot(x)−tan(x)=2cot(2x) ?
Can you prove that tan (A+B)-tan(A-B)=sin2B/(cos^2B-sin^2A)?
How do we prove (tan A- Sin A) / (Sin^2A) = (tan A) / (1+Cos A)?
Step-by-step explanation:
cotA-tanA = 2.cot 2A
L.H.S.
=cosA/sinA-sina/cosA
=(cos^2A-sin^2A)/sinA.cosA
=(cos2A)/(1/2.sin2A)
=2.(cos2A/sin2A)
=2.cot2A , Proved.
How do I prove that tan A + Cot And = 2cosec2A?
How do I prove that tan A - cot A and = -2cot2A?
How do I prove that tan A + cot A is equal to 2/sin 2A?
How do I prove that tan A/2 - cot A/2 + 2 cot A = 0?
Sin 2A/1+cos2A=tanA, how can we prove it?
2cot 2A= 2cos2A/sin2A
Double angle identities for :-
Cos2A = Cos²Α−Sin²Α
Sin2A= 2SinACosA
Put the value of Cos2A and Sin2A
2cot2A = 2(cos²Α-sin²Α)/2sinA cosA
2cot2A = (cos²Α/sinAcosA)-(sin²A/sinAcosA
2cot2A= cotA - tanA
LHS = cot A - tan A
= cotA - 1/cotA
= (cot²A - 1)/cotA ………………. LHS
RHS = 2 cot2A
=2 *(1-tan²A) / 2tanA
= 2 *{ 1 - (1/cot² A) } /2tanA
= 2 *{(cot²A - 1) / cot²A} / {(2/cotA)}
= 2 * {(cot²A -1) / (2cotA) }
= ( cot²A -1 ) / cotA ……………. RHS
=> LHS = RHS
Long-term goals or a short-term goals, aim to meet them all.
cotA-tanA=2cot2A
this can be written as…
(cosA/sinA) - (sinA/cosA)
(cos^2A -sin^2A) / (sinAcosA)
multiplying num. & deno. by 2
2cos2A/sin2A
2cot2A…..proved
How can I prove (cot A -1) / (2-sec^2A) = cot A/ (1+tanA)?
How do I prove Tan 2A-Tan A=Sec 2A Tan A?
How can I prove that 1+tan2A1+cot2A=(1−tanA1−cotA)2=tan2A ?
How do I prove cot(x)−tan(x)=2cot(2x) ?
Can you prove that tan (A+B)-tan(A-B)=sin2B/(cos^2B-sin^2A)?
Cota-tana=cosa/sina-sina/cosa
Cos^2a_
CosA/SinA - SinA/CosA
Taking L.C.M
(CosA )^2 - (SinA)^2/ SinACosA
Cos2A/SinACosA
Multiplying and Dividing by 2
2Cos2A/2SinACosA
2Cos2A/Sin2A
2Cot2A.
Hence proved!!
Not every PC matches how your employees work. Dell Latitude does!
How do I prove that tan A + Cot And = 2cosec2A?
How do I prove that tan A - cot A and = -2cot2A?
How do I prove that tan A + cot A is equal to 2/sin 2A?
How do I prove that tan A/2 - cot A/2 + 2 cot A = 0?
Sin 2A/1+cos2A=tanA, how can we prove it?
How can I prove (cot A -1) / (2-sec^2A) = cot A/ (1+tanA)?
How do I prove Tan 2A-Tan A=Sec 2A Tan A?
How can I prove that 1+tan2A1+cot2A=(1−tanA1−cotA)2=tan2A ?
How do I prove cot(x)−tan(x)=2cot(2x) ?
Can you prove that tan (A+B)-tan(A-B)=sin2B/(cos^2B-sin^2A)?
How do we prove (tan A- Sin A) / (Sin^2A) = (tan A) / (1+Cos A)?