اختبار في المتطابقات المثلثية

If cosθ = 1/3 where 270° < θ < 360°, what is sinθ?

• 2√2/3

• -2√2/3

• √2/3

• -8/9

If sinθ = -2/7 where 180° < θ < 270°, what is secθ?

• 3√7/7

• -3√7/7

• 7√5/15

• -7√5/15

If cotθ = 2 where 0° < θ < 90°, what is tanθ?

• 1/2

• -1/2

• 2

• 3/2

Simplify the expression secθ /sinθ (1 - cos²θ).

• cscθ

• cotθ

• tanθ

• secθ

Simplify the expression secθ tan²θ + secθ.

• tan²θ

• sec²θ

• sec³θ

• secθ

Simplify the expression (1 - sinθ)(1 + sinθ).

• cos²θ

• cosθ

• tan²θ

• sec²θ

Simplify sin²θ/ (cos²θ + sin²θ.)

• cos²θ

• sec²θ

• sin²θ

• tan²θ

Which of the following statements is equivalent to the expression cosθ cscθ/ tanθ?

• cotθ

• cscθ

• cot²θ

• csc²θ

Which of the following is equivalent to the expression tan²θ (cot²θ -cos²θ) ?

• cot²θ

• tan²θ

• cos²θ

• sin²θ

Simplify the expression csc²θ - cot²θ.

• cotθ

• cot²θ

• csc²θ

• 1