Question

The value of secθ × cosθ = ?​

Answer 1

cos theta =1/sec theta

so, sec theta ×1/sec theta

so the answer will be

1

Answer 2

Theory :-

In an right angled triangle ABC, right angled at B

cosA = AB secA = AC

AC AB

sinA = BC coesecA = AC

AC BC

tanA = BC cotA = AB

AB BC

Solution :-

As we saw in the above theory

cosA × secA = AB × AC = 1

AC AB

Hence, for any θ

secθ × cosecθ = 1

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