Trigonometric Functions in Right Triangles

In a right-angled triangle ABC, right-angled at B, if tan A = 1/sqrt(3), what is the length of the hypotenuse AC if the side opposite to angle A is k?

• sqrt(3)k

• k

• 2k

• 4k

In a right-angled triangle ABC, right-angled at B, if tan A = 1/sqrt(3), what is the value of sin A?

• sqrt(3)/2

• 1/2

• 1/sqrt(3)

• 2/sqrt(3)

In a right-angled triangle ABC, right-angled at B, if tan A = 1/sqrt(3), what is the value of cos C?

• sqrt(3)/2

• 1/2

• 1/sqrt(3)

• 2/sqrt(3)

In a right-angled triangle ABC, right-angled at B, if tan A = 1/√3, what are the values of sin A and cos A?

• sin A = 1/2, cos A = √3/2

• sin A = √3/2, cos A = 1/2

• sin A = 1/√3, cos A = 1

• sin A = 1, cos A = 1/√3

In a right-angled triangle ABC, right-angled at B, if the side opposite to angle A is k and the side adjacent to angle A is √3k, what are the values of sin C and cos C?

• sin C = 1/2, cos C = √3/2

• sin C = √3/2, cos C = 1/2

• sin C = 1/√3, cos C = 1

• sin C = 1, cos C = 1/√3

Given sin A = 1/2, cos A = √3/2, sin C = √3/2, and cos C = 1/2, what is the value of sin A cos C + cos A sin C?

• 0

• 1

• √3

• 1/2

In a right-angled triangle PQR, right-angled at Q, if PR + QR = 25 cm and PQ = 5 cm, what is the length of side QR?

• 5 cm

• 12 cm

• 13 cm

• 25 cm

In a right-angled triangle PQR, right-angled at Q, if PQ = 5 cm, QR = 12 cm, and PR = 13 cm, what is the value of sin P?

• 5/13

• 12/13

• 5/12

• 13/5