Trigonometric Ratios And The Pythagorean Theorem
Muhtasari
Right triangles hide a powerful pattern: fix one angle and the ratios of the sides are locked in, no matter how big the triangle is. Those ratios are sine, cosine and tangent, and with the Pythagorean theorem they let you find unknown sides and angles.
In this lesson you will use the three trigonometric ratios and the Pythagorean theorem to solve right triangles: finding a missing side or a missing angle from the information you are given.
Malengo
- Use the sine, cosine and tangent ratios and the Pythagorean theorem to solve right-angled triangles in applied problems.
Maelezo ya Somo
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Tathmini ya Somo
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Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- In a right triangle with legs 3 and 4, the hypotenuse is: A. 5 B. 7 C. 12 D. 25 Answer: A
- Which ratio equals opposite over hypotenuse? A. cosine B. tangent C. sine D. none Answer: C
- tan θ is equal to: A. opposite/hypotenuse B. adjacent/hypotenuse C. opposite/adjacent D. hypotenuse/opposite Answer: C
- If the hypotenuse is 10 and the angle is 30°, the opposite side is (sin 30° = 0.5): A. 5 B. 8.66 C. 10 D. 20 Answer: A
- To find an angle from a known ratio you use: A. the Pythagorean theorem B. an inverse trig function C. the slope D. the midpoint Answer: B
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
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