Question

If cosec theta = 53 then find the value of cos theta + tan theta​

Answer 1

Answer:

Answer

Open in answr app

cscθ=35 is positive

∴θ is in first or second quadrant.

⇒cosec2θ=925

⇒cosec2θ−1=925−1

⇒cot2θ=925−9

⇒cot2θ=916

⇒tan2θ1=916

⇒tan2θ=169

∴tanθ=±43 since tanθ is negative in second quadrant and positive in first quadrant.