Which pair of angles has congruent values for the sin⁡x∘ and the cos⁡y∘? a. 35∘;55∘ b. 35∘;145∘ c. 35∘;70∘ d. 35∘;35∘

Question: "Which pair of angles has congruent values for..."

Tiffany Russell

2021-12-14

Which pair of angles has congruent values for the

{\sin x}^{\circ}

and the

{\cos y}^{\circ}

?
a.

35^{\circ}; 55^{\circ}

35^{\circ}; 145^{\circ}

35^{\circ}; 70^{\circ}

35^{\circ}; 35^{\circ}

Vivian Soares

Beginner2021-12-15Added 36 answers

Step 1
Note:

\cos (90 θ -) = \cos (90) \cos θ + \sin (90) \cdot \sin θ = 0 \times \cos θ + 1 \sin θ

\cos (90 θ -) = \sin θ

Step 2
Using, it

θ = 35

, then

\cos (90 - 35) = \sin (35)

∴ \cos (55) = \sin (35)

∴ 35^{\circ}, 55^{\circ}

∴

option a is correct.

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