Establish the identity tan theta middot cos theta sin theta

Establish the identity. tan theta middot cos theta = sin theta Which of the following four statements establishes the identity? tan theta middot cos theta = sin theta middot cos theta / sin theta = cos theta sin theta / sin theta = sin theta tan theta middot cos theta = sin theta / cos theta middot sin theta = sin theta cos theta / cos theta = sin theta tan theta middot cos theta = cos theta middot sin theta = cos theta sin theta / sin theta = sin theta tan theta middot cos theta = sin theta / cos theta middot cos theta = sin theta cos theta / cos theta = sin theta

Solution

tan * cos = sin

consider tan * cos

we know that tan = sin / cos

==> tan * cos = (sin / cos ) * cos

==> sin

Hence tan * cos = sin

Option D