Question

Given right triangle PQR with right angle Q, which statement must be true?

A. cos P = cos R
B. sin P = sin R
C. cos P = sin Q
D. sin P = cos R

Answer 1

Answer:

Not sure about answer

Option c is correct one

Answer 2

Concept:

One of the most significant areas of mathematics, trigonometry has a wide range of applications. The study of the relationship between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry." Therefore, employing trigonometric formulas, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians. 0°, 30°, 45°, 60°, and 90° are some of the trigonometric angles that are most frequently employed in computations.

sinA=cos(90-A)

Given:

right triangle PQR with right angle Q

Find:

which statement must be true?

A. cos P = cos R

B. sin P = sin R

C. cos P = sin Q

D. sin P = cos R

Solution:

cosα=sin(90-α)

Similarly

P=90-Q

So,

cosP=sin(90-P)=sinQ

Therefore, option C  cos P = sin Q is correct

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