Solving Trigonometry Problems: Basic, Advanced & Examples

High School
Geometry
Trigonometry

evaluate the function for the indicated values. $f (x) = [x] . f (2.1)$

jernplate8 2021-09-11

Prove the identity
$\frac{\sin (2 x)}{\sin (x)} - \frac{\cos (2 x)}{\cos (x)} = \sec (x)$

Harlen Pritchard 2021-09-10

Prove the trigonometry identitied
$\frac{\sec A}{\sec A - 1} - \frac{\sec A + 1}{\tan^{2} A} = 1$

naivlingr 2021-09-10

What is $4 \cos 45 ° - 2 \sin 45 °$ ?

sagnuhh 2021-09-10

Consider that
$f (x) = k + 6 x, if x \leq - 2 and f (x) = k x + 9, if x \geq - 2$
and find the value of k.

Rui Baldwin 2021-09-10

Given a right triangle. One cathetus is 100cm long. Find the length of the other cathetus, if the angle opposite to it is ${71.6}^{\circ}$ . Round your answer to an integer.

Tahmid Knox 2021-09-10

A right triangle has a cathetus of 75m, which is opposite to the anfle of 40.

beljuA 2021-09-10

A right triangle with a side cathetuses equal to 12cm and 5 cm. Find the angle opposite to the cm side.

Line 2021-09-10

Establish identity
$\frac{\csc θ - 1}{\cot θ} = \frac{\cot θ}{\csc θ + 1}$

coexpennan 2021-09-10

Establish identity
$\frac{\sec θ}{\csc θ} + \frac{\sin θ}{\cos θ} = 2 \tan θ$

illusiia 2021-09-09

Given a right triangle, where one cathetus is $\overset{―}{A} = 51$ m and the second cathetus is $\overset{―}{B} = 39$ m. Find the hypothenuse $(\overset{―}{C})$ and the angle opposite to $\overset{―}{B} (∠ a)$

UkusakazaL 2021-09-09

At what points is the direction of fastest change of the function $f (x, y) = x^{2} + y^{2} - 4 x - 8 y$ is $i + j$ .

Emeli Hagan 2021-09-09

$\tan^{2} θ - \sin^{2} θ = \tan^{2} θ \sin θ$

ringearV 2021-09-09

Establish identity
$9 \sec^{2} θ - 5 \tan^{2} θ = 5 + 4 \sec^{2} θ$

Efan Halliday 2021-09-09

In $△ K L M$ , the measure of $∠ M = 90 °$ , Lm = 1.1 feet, and KL = 4.2 feet. Find the measure of $∠ L$ .

bobbie71G 2021-09-09

The 5 feet wall stands 28 ft froom the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

Line 2021-09-08

Proof trigonometry identities.
$\csc (x) + \cot (x) = \frac{1}{\csc (x) - \cot (x)}$

Isa Trevino 2021-09-08

Proof trigonometric identities.
$\tan^{4} (x) - \frac{1}{\sec^{2} (x) (\tan (x) - 1)} = \tan (x) + 1$

permaneceerc 2021-09-08

Given a rectangle ( $17.5 c m \times 26.2 c m$ ). Find the angle between the longer side and the diagonal.

Cheyanne Leigh 2021-09-08

Proof trigonometric identities.
$\sec^{2} (x) + \csc^{2} (x) = \sec^{2} (x) \csc^{2} (x)$

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Trigonometry

Trigonometry Problems - Basics, Advanced & Examples