{"id":"cb_practice_pdf:t7-math-m1-q25","source_id":"cb_practice_pdf","source_item_id":"t7-math-m1-q25","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-7","module_number":1,"position":25,"stem":"Which of the following expressions is equivalent (sin24°)(cos66°)+(cos24°)(sin66°) to? 2(cos66°)(sin24°)","stimulus":"","stimulus_html":null,"stem_html":"<p>Which of the following expressions is equivalent (sin24°)(cos66°)+(cos24°)(sin66°) to? 2(cos66°)(sin24°)</p>","rationale_html":"<p>Choice C is correct. The sine of an angle is equal to the cosine of its 24° 66° complementary angle. Since angles with measures and are sin24° cos66° sin66° complementary to each other, is equal to and is cos24° cos66° sin24° cos24° sin66° equal to . Substituting for and for cos66° cos66° + cos24° cos24° in the given expression yields ^ h^ h ^ h^ h, or cos66° 2+ cos24° 2 ^ h ^ h . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>2(cos66°)+2(cos24°)</p>","ord":0},{"label":"B","content_html":"<p>(cos66°)^2 +(cos24°)^2</p>","ord":1},{"label":"C","content_html":"<p>(cos66°)^2 +(sin24°)^2</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}