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MATH / In the diagram below, we have sin∠RPQ=(7)/(25). What is cos∠RPS? [asy] pair R,P,Q,SS; SS = (-2,0); P = (0,0); Q = (2,0); R = rotate(aSin(7/25))*(1.5,0); dot("S",SS,S); dot("Q",Q,S)…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In the diagram below, we have sin∠RPQ=725\sin \angle RPQ = \frac{7}{25}. What is cos∠RPS\cos \angle RPS? [asy] pair R,P,Q,SS; SS = (-2,0); P = (0,0); Q = (2,0); R = rotate(aSin(7/25))*(1.5,0); dot("SS",SS,S); dot("QQ",Q,S); dot("RR",R,N); dot("PP",P,S); draw(Q--SS); draw(P--R); [/asy]
Plain-text mathematical notation (without MathML)
In the diagram below, we have sin∠RPQ=(7)/(25).  What is cos∠RPS?

[asy]

pair R,P,Q,SS;

SS = (-2,0);

P = (0,0);

Q = (2,0);

R = rotate(aSin(7/25))*(1.5,0);

dot("S",SS,S);

dot("Q",Q,S);

dot("R",R,N);

dot("P",P,S);

draw(Q--SS);

draw(P--R);

[/asy]
Original LaTeX notation
In the diagram below, we have $\sin \angle RPQ = \frac{7}{25}$.  What is $\cos \angle RPS$?

[asy]

pair R,P,Q,SS;

SS = (-2,0);

P = (0,0);

Q = (2,0);

R = rotate(aSin(7/25))*(1.5,0);

dot("$S$",SS,S);

dot("$Q$",Q,S);

dot("$R$",R,N);

dot("$P$",P,S);

draw(Q--SS);

draw(P--R);

[/asy]

level

Level 5

type

Geometry

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Source and history

task_id
005eb71b-9faa-53f4-ac9a-97ecc6d24abf
task_key
geometry--test--005eb71b-9faa-53f4-ac9a-97ecc6d24abf
task_revision_id
1
config / split
geometry / test

Official source

initial import