If sec theta = and the reference angle of theta is 45∘, find both angles in degrees from 0∘ < theta < 360∘ and both angles in radians from 0 < theta < 2pi

Step-by-step explanation:

cos

θ

+

sin

θ

=

0

Since

cos

45

∘

=

sin

45

∘

,

cos

45

∘

cos

θ

+

sin

45

∘

sin

θ

=

0

cos

(

θ

−

45

∘

)

=

cos

90

∘

θ

−

45

∘

=

±

90

∘

+

360

∘

k

for integer

k

θ

=

45

±

90

∘

+

360

∘

k

θ

=

−

45

∘

+

180

∘

k

That's the same answer we got by knowing cotangent meant reciprocal slope, and we choose the one in the fourth quadrant as requested.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

i think its a and d

step-by-step explanation: