Question

how to find value of cos thetha =-1/√2 plzz answer with solution how​

Answer 1

Answer:

ANSWER

cosθ=−1/

2

=−cos(π/4)

=cos(π−π/4) or cos(π+π/4)

∴θ=3π/4,5π/4

tanθ=1=tan(π/4),tan(π+π/4)

∴θ=π/4,5π/4

Hence the value of θ between 0 and 2π which satisfies both the equations is 5π/4.

∴ General value is 2nπ+5π/4=(2n+1)π+π/4.

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