Assume that θ is an acute angle in a right triangle satisfying the given conditions. Evaluate the 5 remaining trigonometric functions. Sketch a triangle in the correct quadrant and label. sec θ= 17/15
sin θ<0

See step by step. Replace the x with theta

Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.

We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.

We can find tangent by using the identity

where x is theta.

tan x=, Tangent in the fourth  quadrant is negative  so  the answer is instead

We can find cotangent by taking the recipocial of tan so

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

We can find sin by doing quoteint identies.

To find csc, take reciprocal of sine.

it has to have an angle of 90 degrees