The problem involves a right-angled triangle with angles a, b, and 90 degrees, where it is given that a < b. The inquiry focuses on determining the number of distinct values among the expressions: sin a sin b, sin a cos b, cos a sin b, and cos a cos b.
Some participants have offered guidance on using trigonometric identities, while others are exploring the implications of the angles' relationships. There is an ongoing exploration of how to apply these identities to the expressions in question.
Participants note that the condition a < b is significant for determining the distinct values of the expressions, as it implies that the angles are not equal, which affects the outcomes of the trigonometric functions involved.
Trail_Builder said:Homework Statement
There is a right angled triangle, with the following angles, a, b, and 90deg.
If a < b, how many different values are there among the following expressions?
sin a sin b, sin a cos b, cos a sin b, cos a cos b
Homework Equations
The Attempt at a Solution
I don't really know any trigonometric identies and I am guessing that's where the solution lies :S
antonantal said:Here is a trigonometric identity: sin(x) = cos(90 - x)
Try to use it.
The point is that sin(a)= cos(b) and sin(b)= cos(a).Trail_Builder said::S
sorry i still don't know how i would use it