Question

If cos e + sin e = 2 cos o , prove that cos 0 - sin A = + V2 sin e.
1-sino
Prove that
V1+ sin e
sec - tano. (Where 'O' is acute)
=
1+ sec sin’
Show that : i)
sece 1-cos
Prove that sin4 A - cos4A = 2sin?A - 1.
ii) sec? 0+ cosec?0 = tan 0 + cote ; (Where e' is acute).
Prove that cote- tan =
2 cos? 0-1 1-2 sinº e
sin cos e sin cos e​

Answer 1

Answer:

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Step-by-step explanation:

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