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Find all values of θ \theta θsuch that
cos 2 θ = 1. \cos^2 \theta = 1. cos2θ=1.
In the options, n n nis an integer.
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Given that
cos ( A ) − 4 sin ( A ) = 1 , \cos(A)-4\sin(A)=1, cos(A)−4sin(A)=1,
what are the possible values of
sin ( A ) + 4 cos ( A ) ? \sin(A) + 4\cos(A)? sin(A)+4cos(A)?
sin θ + cos θ = 2 sin ( 9 0 ∘ − θ ) , cot θ = ? \sin\theta+\cos\theta=\sqrt{2}\sin(90^{\circ}-\theta), \quad \cot\theta = \, ? sinθ+cosθ=2 sin(90∘−θ),cotθ=?
Give your answer to the above problem to 3 decimal places.
Find the value of x x xbetween 0 and 180 such that
tan ( 120 ∘ − x ∘ ) = sin 120 ∘ − sin x ∘ cos 120 ∘ − cos x ∘ . \tan({ 120 }^{ \circ }-x^{ \circ })=\frac { \sin{ 120 }^{ \circ }-\sin x^{ \circ } }{ \cos{ 120 }^{ \circ }-\cos x^{ \circ }}. tan(120∘−x∘)=cos120∘−cosx∘sin120∘−sinx∘.
If cos 4 α cos 2 β + sin 4 α sin 2 β = 1 , \quad \quad \dfrac{\cos^4\alpha}{\cos^2\beta}+\dfrac{\sin^4\alpha}{\sin^2\beta}=1, cos2βcos4α+sin2βsin4α=1,find the value of sin 4 β sin 2 α + cos 4 β cos 2 α . \dfrac{\sin^4\beta}{\sin^2\alpha}+\dfrac{\cos^4\beta}{\cos^2\alpha}. sin2αsin4β+cos2αcos4β.
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