simplify the following without using tables ( use trigonometric ratios) Note: √ a + √ a = a ∵ sin 30° cos 30° ∵3 cos 30° + cos 60 ∵ tan 45° + cos 45° sin 45°
Answers
Answer:
Until now, we have used the calculator to evaluate the sine, cosine, and tangent of an angle. However, it is possible to evaluate the trig functions for certain angles without using a calculator.
This is because there are two special triangles whose side ratios we know! These two triangles are the 45-45-90 triangle and the 30-60-90 triangle.
The special triangles
30-60-90 triangles
A 30-60-90 triangle is a right triangle with a 30^\circ30
∘
30, degrees degree angle and a 60^\circ60
∘
60, degrees degree angle.
[I'm skeptical. Can you show me how to derive these ratios?]
45-45-90 triangles
A 45-45-90 triangle is a right triangle with two 45^\circ45
∘
45, degrees degree angles.
Step-by-step explanation:
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