Forgot password?New user?Sign up
Existing user?Log in
If tan θ = 2 7 \tan \theta = \frac{ 2}{7} tanθ=72, what is the value of
cos θ + 3 sin θ cos θ − 3 sin θ ? \frac{ \cos \theta + 3 \sin \theta } { \cos \theta - 3 \sin \theta}? cosθ−3sinθcosθ+3sinθ?
Details and assumptions
You may read up onTrigonometric Functions.
Given that sin θ + cos θ = 10 9 \sin \theta + \cos \theta = \frac{10}{9} sinθ+cosθ=910and sin ( 2 θ ) = a b \sin (2\theta) = \frac{a}{b} sin(2θ)=ba, where a a aand b b bare coprime positive integers, what is the value of a + b a + b a+b?
If
∑ i = 0 90 cos 2 i ∘ = a b , \sum_{i=0} ^ {90} \cos ^2 i ^ \circ = \frac {a}{b}, i=0∑90cos2i∘=ba,
where a a aand b b bare positive coprime integers what is the value of a + b a+b a+b?
P P Pis a point on a semicircle with diameter A B ‾ = 10 \overline{AB}=10 AB=10. What is the maximum value of 3 A P ‾ + 4 B P ‾ ? 3\overline{AP}+4\overline{BP}? 3AP+4BP?
What is the value of:
( 1 − 1 cos 7 2 ∘ ) ( 1 + 1 sin 1 8 ∘ ) ( 1 − 1 sin 7 2 ∘ ) ( 1 + 1 cos 1 8 ∘ ) ? \left(1-\frac{1}{\cos 72 ^\circ}\right)\left(1+\frac{1}{\sin 18 ^\circ}\right)\left(1-\frac{1}{\sin 72 ^\circ}\right)\left(1+\frac{1}{\cos 18 ^\circ}\right)? (1−cos72∘1)(1+sin18∘1)(1−sin72∘1)(1+cos18∘1)?
问题Loading...
Note Loading...
Set Loading...
