Question

If tan theta = 1/√3, what is the value of cosec²theta - sec²theta/cosec²theta + sec²theta.

Answer 1

Answer:

(√3 + 1 )/2√2

theta= 30 degree

cosec²theta - sec²theta/cosec²theta + sec²theta= cos(2theta)

put the value of theta you will get the answer

Step-by-step explanation:

Answer 2

Answer:

73/16

Step-by-step explanation:

If tan θ = / √3 ⇒ θ = 30°

cosec² θ - (sec² θ/cosec² θ) + sec² θ

= 2² - ($(\frac{\sqrt{3} }{2})^{2}$ / 2²) + $(\frac{\sqrt{3} }{2})^{2}$

= 4 - (3/16) + (3/4)

= 73/16

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