Chapter 7: Q.8 (page 473)

True or False: $\tan (θ) \cos (θ) = \sin (θ)$ for any $θ \neq \frac{(2 k + 1) π}{2}$

Short Answer

Expert verified

The given statemen is true

Step by step solution

Given information

We are given $\tan (θ) \cos (θ) = \sin (θ) f o r θ \neq \frac{(2 k + 1) π}{2}$

explanation for true statement

We know that $\tan (θ) = \frac{\sin (θ)}{\cos (θ)} E x c e p t θ = \frac{(2 k + 1) π}{2}$

Hence

$\frac{\sin (θ)}{\cos (θ)} \cos (θ) = \sin (θ) E x c e p t θ = \frac{(2 k + 1) π}{2}$

Hence the given statement is true statement.

Conclusion

Given statement is true statement

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True or False: $\tan (θ) \cos (θ) = \sin (θ)$ for any $θ \neq \frac{(2 k + 1) π}{2}$

Short Answer

Step by step solution

Given information

explanation for true statement

Conclusion

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True or False:tanθcosθ=sinθfor anyθ≠(2k+1)π2

Short Answer

Step by step solution

Given information

explanation for true statement

Conclusion

One App. One Place for Learning.

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True or False: $\tan (θ) \cos (θ) = \sin (θ)$ for any $θ \neq \frac{(2 k + 1) π}{2}$