What is the value of 2-sinα-cosαsinα-cosα?
secα2-π8
cosπ8-α2
tanα2-π8
cotα2-π2
Explanation for correct option:
Simplification of the given expression:
The given expression is: 2-sinα-cosαsinα-cosα
Simplifying the above expression:
=2-sinα-cosαsinα-cosα=2-212sinα+12cosα212sinα-12cosα[Multiplyanddivideby2]=2-2sinπ4sinα+cosπ4cosα2cosπ4sinα-sinπ4cosα=2-2cosα-π42sinα-π4Let,α-π4=θ----i=2-2cosθ2sinθ=21-cosθ2sinθ=1-cosθsinθ=2sin2θ22sinθ2cosθ2[Trigonometricidentities]=sinθ2cosθ2=tanθ2[∵sinθcosθ=tanθ]=tanα2-π8[θ=α-π4]
Hence, the correct answer is optin (C).
What is the value of x if 25=20x.
Let A and B denote the statements
A :cosα+cosβ+cosγ=0,
B : sinα+sinβ+sinγ=0
If cos(β-γ)+cos(γ-α)+cos(α-β)=-32 then
What is the value of −62?