Question

If sintheta + costheta = 1, then find general value of theta.

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Answer 1

To find the value of ∅ for,

sin∅ + cos∅=1

Analyzing and considering values of sin and cos from the trigonometric table,two cases arise:

Case 1: When ∅=90°,

Implies,

sin∅+cos∅

=sin90 + cos90

=1+0

=1

Hence,verified

Case 2:

When ∅=0°

Implies,

sin∅ + cos∅

= sin0 + cos0

=0 + 1

=1

Hence,Verified

Thus,the value of ∅ could be 90° or 0°.

Answer 2

Step-by-step explanation:

Theta may be 0 degree or 90 degrees

when theta= 0 degree,

sin0⁰+ cos0⁰ = 0+1

= 1.

and, when theta= 90 degrees,

sin90⁰+ cos90⁰= 1+0

=1.