Verifying Trigonometric Identities
Determine whether the equation is an identity or not an identity. cos^2theta(tan^2 theta+1)=1
a. identity
Determine whether the equation is an identity or not an identity. tan^2 theta cos^2 theta=1/csc^2 theta
a. identity
Determine whether the equation is an identity or not an identity. 1/1-sin theta+1/1+sin theta=2cos^2 theta
b. not an identity
Determine whether the equation is an identity or not an identity. cos theta/sin theta tan theta=1
b. not an identity
Determine whether the equation is an identity or not an identity. sin theta/sec theta=1/tan theta+1/cot theta
b. not an identity
Verify which of the following are identities. 1) 13 sec theta sin theta=13 cot theta tan^2 theta
c. Both the equations are identities.
If an object is propelled from ground level, the maximum height that it reaches is given by h=v^2 sin^2 theta/2g, where theta is the angle between the ground and the initial path of the object, v is the object's initial velocity, and g is the acceleration due to gravity, 9.8 meters per second squared.
d. 598.7 m
Verify which of the following are identities. 1) 4cos theta tan theta csc theta=4
d. Only the first equation is an identity.
Verify which of the following are identities. 1) 1+cos^2 theta/cot^2 theta(1-sin^2 theta)=8 sec^2 theta
d. Only the second equation is an identity.
Which of the following is equivalent to sin theta+cot theta cos theta?
B 1/sin theta