Question

Q4. Iftanθ=1/3   ​   find  the  value  ofsinθ.


1. 1/√3

2. 1/2

3. 2/√3

4. √3/2

​

Answer 1

Step-by-step explanation:

MATHS

If sinθ+cosθ=

3

, then prove that tanθ+cotθ=1

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ANSWER

sinθ+cosθ=

3

=(sinθ+cosθ)

2

=3

=sin

2

θ+cos

2

θ+2sinθcosθ=3

⇒2sinθcosθ=2

⇒sinθcosθ=1

⇒sinθcosθ=sin

2

θ+cos

2

θ

⇒1=

sinθcosθ

sin

2

θ+cos

2

θ

⇒tanθ+cotθ=1

Answer 2

If sinA+cosA=3

then prove that tanA+cotA=1

Answer :

sinA+cosA=3

=(sinA+cosA)

2

=3

=sin

2

A+cos

2

A+2sinAcosA=3

=2sinAcosA=2

=sinAcosA=1

=sinAcosA=sin

2

A+cos

2

A

=1=

sinAcosA

sin

2

A+cos

2

A

=tanA+cotA=1